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Simplifying 7 + 5(4z + 2) = -3(4z + -9) + -7 Reorder the terms: 7 + 5(2 + 4z) = -3(4z + -9) + -7 7 + (2 * 5 + 4z * 5) = -3(4z + -9) + -7 7 + (10 + 20z) = -3(4z + -9) + -7 Combine like terms: 7 + 10 = 17 17 + 20z = -3(4z + -9) + -7 Reorder the terms: 17 + 20z = -3(-9 + 4z) + -7 17 + 20z = (-9 * -3 + 4z * -3) + -7 17 + 20z = (27 + -12z) + -7 Reorder the terms: 17 + 20z = 27 + -7 + -12z Combine like terms: 27 + -7 = 20 17 + 20z = 20 + -12z Solving 17 + 20z = 20 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 17 + 20z + 12z = 20 + -12z + 12z Combine like terms: 20z + 12z = 32z 17 + 32z = 20 + -12z + 12z Combine like terms: -12z + 12z = 0 17 + 32z = 20 + 0 17 + 32z = 20 Add '-17' to each side of the equation. 17 + -17 + 32z = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 32z = 20 + -17 32z = 20 + -17 Combine like terms: 20 + -17 = 3 32z = 3 Divide each side by '32'. z = 0.09375 Simplifying z = 0.09375
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