This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the simplified algebraic expressions: 1. 16x + 9x - 6 Step 1: Combine the terms with x. (16+9)x - 6 = 25x - 6 The simplified expression is 25x - 6. 2. 2 + 5d + 6 + 9d Step 1: Group like terms. (5d + 9d) + (2 + 6) Step 2: Combine like terms. (5+9)d + (2+6) = 14d + 8 The simplified expression is 14d + 8. 3. -8c + 2 - 4 + 5c Step 1: Group like terms. (-8c + 5c) + (2 - 4) Step 2: Combine like terms. (-8+5)c + (2-4) = -3c - 2 The simplified expression is -3c - 2. 4. 5m - 9m - 2 Step 1: Combine the terms with m. (5-9)m - 2 = -4m - 2 The simplified expression is -4m - 2. 5. 8 + 7g - 5 Step 1: Group like terms. 7g + (8 - 5) Step 2: Combine like terms. 7g + 3 The simplified expression is 7g + 3. 6. 10y - 9 - 15 + 8y Step 1: Group like terms. (10y + 8y) + (-9 - 15) Step 2: Combine like terms. (10+8)y + (-9-15) = 18y - 24 The simplified expression is 18y - 24. 7. 13 + 18w - 14 Step 1: Group like terms. 18w + (13 - 14) Step 2: Combine like terms. 18w - 1 The simplified expression is 18w - 1. 8. 3 - 19 + 9b - 17b Step 1: Group like terms. (9b - 17b) + (3 - 19) Step 2: Combine like terms. (9-17)b + (3-19) = -8b - 16 The simplified expression is -8b - 16. 9. -4 + 2x + 9x + 10 Step 1: Group like terms. (2x + 9x) + (-4 + 10) Step 2: Combine like terms. (2+9)x + (-4+10) = 11x + 6 The simplified expression is 11x + 6. 10. 11z - 15 + 19z Step 1: Group like terms. (11z + 19z) - 15 Step 2: Combine like terms. (11+19)z - 15 = 30z - 15 The simplified expression is 30z - 15. 3 done, 2 left today. You're making progress.