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Simplifying -7(-5z + -12) = -4(-4z + -17) + 16 Reorder the terms: -7(-12 + -5z) = -4(-4z + -17) + 16 (-12 * -7 + -5z * -7) = -4(-4z + -17) + 16 (84 + 35z) = -4(-4z + -17) + 16 Reorder the terms: 84 + 35z = -4(-17 + -4z) + 16 84 + 35z = (-17 * -4 + -4z * -4) + 16 84 + 35z = (68 + 16z) + 16 Reorder the terms: 84 + 35z = 68 + 16 + 16z Combine like terms: 68 + 16 = 84 84 + 35z = 84 + 16z Add '-84' to each side of the equation. 84 + -84 + 35z = 84 + -84 + 16z Combine like terms: 84 + -84 = 0 0 + 35z = 84 + -84 + 16z 35z = 84 + -84 + 16z Combine like terms: 84 + -84 = 0 35z = 0 + 16z 35z = 16z Solving 35z = 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 35z + -16z = 16z + -16z Combine like terms: 35z + -16z = 19z 19z = 16z + -16z Combine like terms: 16z + -16z = 0 19z = 0 Divide each side by '19'. z = 0 Simplifying z = 0
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