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Simplifying -4 + -2(-8z + 4) = 2(-7z + 3) + -7 Reorder the terms: -4 + -2(4 + -8z) = 2(-7z + 3) + -7 -4 + (4 * -2 + -8z * -2) = 2(-7z + 3) + -7 -4 + (-8 + 16z) = 2(-7z + 3) + -7 Combine like terms: -4 + -8 = -12 -12 + 16z = 2(-7z + 3) + -7 Reorder the terms: -12 + 16z = 2(3 + -7z) + -7 -12 + 16z = (3 * 2 + -7z * 2) + -7 -12 + 16z = (6 + -14z) + -7 Reorder the terms: -12 + 16z = 6 + -7 + -14z Combine like terms: 6 + -7 = -1 -12 + 16z = -1 + -14z Solving -12 + 16z = -1 + -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. -12 + 16z + 14z = -1 + -14z + 14z Combine like terms: 16z + 14z = 30z -12 + 30z = -1 + -14z + 14z Combine like terms: -14z + 14z = 0 -12 + 30z = -1 + 0 -12 + 30z = -1 Add '12' to each side of the equation. -12 + 12 + 30z = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 30z = -1 + 12 30z = -1 + 12 Combine like terms: -1 + 12 = 11 30z = 11 Divide each side by '30'. z = 0.3666666667 Simplifying z = 0.3666666667
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