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Simplifying -1(2z + 1) = -3(-9 + -8z) Reorder the terms: -1(1 + 2z) = -3(-9 + -8z) (1 * -1 + 2z * -1) = -3(-9 + -8z) (-1 + -2z) = -3(-9 + -8z) -1 + -2z = (-9 * -3 + -8z * -3) -1 + -2z = (27 + 24z) Solving -1 + -2z = 27 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. -1 + -2z + -24z = 27 + 24z + -24z Combine like terms: -2z + -24z = -26z -1 + -26z = 27 + 24z + -24z Combine like terms: 24z + -24z = 0 -1 + -26z = 27 + 0 -1 + -26z = 27 Add '1' to each side of the equation. -1 + 1 + -26z = 27 + 1 Combine like terms: -1 + 1 = 0 0 + -26z = 27 + 1 -26z = 27 + 1 Combine like terms: 27 + 1 = 28 -26z = 28 Divide each side by '-26'. z = -1.076923077 Simplifying z = -1.076923077
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