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Simplifying -7 + 6(-5z + 1) = 3(-5z + -8) + -2 Reorder the terms: -7 + 6(1 + -5z) = 3(-5z + -8) + -2 -7 + (1 * 6 + -5z * 6) = 3(-5z + -8) + -2 -7 + (6 + -30z) = 3(-5z + -8) + -2 Combine like terms: -7 + 6 = -1 -1 + -30z = 3(-5z + -8) + -2 Reorder the terms: -1 + -30z = 3(-8 + -5z) + -2 -1 + -30z = (-8 * 3 + -5z * 3) + -2 -1 + -30z = (-24 + -15z) + -2 Reorder the terms: -1 + -30z = -24 + -2 + -15z Combine like terms: -24 + -2 = -26 -1 + -30z = -26 + -15z Solving -1 + -30z = -26 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. -1 + -30z + 15z = -26 + -15z + 15z Combine like terms: -30z + 15z = -15z -1 + -15z = -26 + -15z + 15z Combine like terms: -15z + 15z = 0 -1 + -15z = -26 + 0 -1 + -15z = -26 Add '1' to each side of the equation. -1 + 1 + -15z = -26 + 1 Combine like terms: -1 + 1 = 0 0 + -15z = -26 + 1 -15z = -26 + 1 Combine like terms: -26 + 1 = -25 -15z = -25 Divide each side by '-15'. z = 1.666666667 Simplifying z = 1.666666667
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