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Simplifying 4(3z + 4) + 3(2z + -3) = 53 Reorder the terms: 4(4 + 3z) + 3(2z + -3) = 53 (4 * 4 + 3z * 4) + 3(2z + -3) = 53 (16 + 12z) + 3(2z + -3) = 53 Reorder the terms: 16 + 12z + 3(-3 + 2z) = 53 16 + 12z + (-3 * 3 + 2z * 3) = 53 16 + 12z + (-9 + 6z) = 53 Reorder the terms: 16 + -9 + 12z + 6z = 53 Combine like terms: 16 + -9 = 7 7 + 12z + 6z = 53 Combine like terms: 12z + 6z = 18z 7 + 18z = 53 Solving 7 + 18z = 53 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 18z = 53 + -7 Combine like terms: 7 + -7 = 0 0 + 18z = 53 + -7 18z = 53 + -7 Combine like terms: 53 + -7 = 46 18z = 46 Divide each side by '18'. z = 2.555555556 Simplifying z = 2.555555556
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