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Simplifying (-7z + -8) + -1(z + 2) = -15z + -87 Reorder the terms: (-8 + -7z) + -1(z + 2) = -15z + -87 Remove parenthesis around (-8 + -7z) -8 + -7z + -1(z + 2) = -15z + -87 Reorder the terms: -8 + -7z + -1(2 + z) = -15z + -87 -8 + -7z + (2 * -1 + z * -1) = -15z + -87 -8 + -7z + (-2 + -1z) = -15z + -87 Reorder the terms: -8 + -2 + -7z + -1z = -15z + -87 Combine like terms: -8 + -2 = -10 -10 + -7z + -1z = -15z + -87 Combine like terms: -7z + -1z = -8z -10 + -8z = -15z + -87 Reorder the terms: -10 + -8z = -87 + -15z Solving -10 + -8z = -87 + -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. -10 + -8z + 15z = -87 + -15z + 15z Combine like terms: -8z + 15z = 7z -10 + 7z = -87 + -15z + 15z Combine like terms: -15z + 15z = 0 -10 + 7z = -87 + 0 -10 + 7z = -87 Add '10' to each side of the equation. -10 + 10 + 7z = -87 + 10 Combine like terms: -10 + 10 = 0 0 + 7z = -87 + 10 7z = -87 + 10 Combine like terms: -87 + 10 = -77 7z = -77 Divide each side by '7'. z = -11 Simplifying z = -11
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