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Simplifying -2 + -4(-4z + -3) = -5(-7z + -1) + -6 Reorder the terms: -2 + -4(-3 + -4z) = -5(-7z + -1) + -6 -2 + (-3 * -4 + -4z * -4) = -5(-7z + -1) + -6 -2 + (12 + 16z) = -5(-7z + -1) + -6 Combine like terms: -2 + 12 = 10 10 + 16z = -5(-7z + -1) + -6 Reorder the terms: 10 + 16z = -5(-1 + -7z) + -6 10 + 16z = (-1 * -5 + -7z * -5) + -6 10 + 16z = (5 + 35z) + -6 Reorder the terms: 10 + 16z = 5 + -6 + 35z Combine like terms: 5 + -6 = -1 10 + 16z = -1 + 35z Solving 10 + 16z = -1 + 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. 10 + 16z + -35z = -1 + 35z + -35z Combine like terms: 16z + -35z = -19z 10 + -19z = -1 + 35z + -35z Combine like terms: 35z + -35z = 0 10 + -19z = -1 + 0 10 + -19z = -1 Add '-10' to each side of the equation. 10 + -10 + -19z = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -19z = -1 + -10 -19z = -1 + -10 Combine like terms: -1 + -10 = -11 -19z = -11 Divide each side by '-19'. z = 0.5789473684 Simplifying z = 0.5789473684
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