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Simplifying 7(2z + 1) + 5z = 3(8z + -3) Reorder the terms: 7(1 + 2z) + 5z = 3(8z + -3) (1 * 7 + 2z * 7) + 5z = 3(8z + -3) (7 + 14z) + 5z = 3(8z + -3) Combine like terms: 14z + 5z = 19z 7 + 19z = 3(8z + -3) Reorder the terms: 7 + 19z = 3(-3 + 8z) 7 + 19z = (-3 * 3 + 8z * 3) 7 + 19z = (-9 + 24z) Solving 7 + 19z = -9 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 7 + 19z + -24z = -9 + 24z + -24z Combine like terms: 19z + -24z = -5z 7 + -5z = -9 + 24z + -24z Combine like terms: 24z + -24z = 0 7 + -5z = -9 + 0 7 + -5z = -9 Add '-7' to each side of the equation. 7 + -7 + -5z = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = -9 + -7 -5z = -9 + -7 Combine like terms: -9 + -7 = -16 -5z = -16 Divide each side by '-5'. z = 3.2 Simplifying z = 3.2
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