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Simplifying -8 + 5(-1z + -1) = -1(8z + -6) + -9 Reorder the terms: -8 + 5(-1 + -1z) = -1(8z + -6) + -9 -8 + (-1 * 5 + -1z * 5) = -1(8z + -6) + -9 -8 + (-5 + -5z) = -1(8z + -6) + -9 Combine like terms: -8 + -5 = -13 -13 + -5z = -1(8z + -6) + -9 Reorder the terms: -13 + -5z = -1(-6 + 8z) + -9 -13 + -5z = (-6 * -1 + 8z * -1) + -9 -13 + -5z = (6 + -8z) + -9 Reorder the terms: -13 + -5z = 6 + -9 + -8z Combine like terms: 6 + -9 = -3 -13 + -5z = -3 + -8z Solving -13 + -5z = -3 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -13 + -5z + 8z = -3 + -8z + 8z Combine like terms: -5z + 8z = 3z -13 + 3z = -3 + -8z + 8z Combine like terms: -8z + 8z = 0 -13 + 3z = -3 + 0 -13 + 3z = -3 Add '13' to each side of the equation. -13 + 13 + 3z = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 3z = -3 + 13 3z = -3 + 13 Combine like terms: -3 + 13 = 10 3z = 10 Divide each side by '3'. z = 3.333333333 Simplifying z = 3.333333333
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