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Solve the equation 4z + 3 = 6 + 2z.

Mathematics

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Answer

z=32z = \frac{3}{2}

Step 4: Solve the equation 4z+3=6+2z4z + 3 = 6 + 2z.

4z−2z=6−34z - 2z = 6 - 3 2z=32z = 3 z=32z = \frac{3}{2}

Check: 4(32)+3=6+2(32)  ⟹  6+3=6+3  ⟹  9=94\left(\frac{3}{2}\right) + 3 = 6 + 2\left(\frac{3}{2}\right) \implies 6 + 3 = 6 + 3 \implies 9 = 9. ✅

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