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Simplifying 2(z + -4) + -1(9 + -7z) = 8z Reorder the terms: 2(-4 + z) + -1(9 + -7z) = 8z (-4 * 2 + z * 2) + -1(9 + -7z) = 8z (-8 + 2z) + -1(9 + -7z) = 8z -8 + 2z + (9 * -1 + -7z * -1) = 8z -8 + 2z + (-9 + 7z) = 8z Reorder the terms: -8 + -9 + 2z + 7z = 8z Combine like terms: -8 + -9 = -17 -17 + 2z + 7z = 8z Combine like terms: 2z + 7z = 9z -17 + 9z = 8z Solving -17 + 9z = 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. -17 + 9z + -8z = 8z + -8z Combine like terms: 9z + -8z = 1z -17 + 1z = 8z + -8z Combine like terms: 8z + -8z = 0 -17 + 1z = 0 Add '17' to each side of the equation. -17 + 17 + 1z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1z = 0 + 17 1z = 0 + 17 Combine like terms: 0 + 17 = 17 1z = 17 Divide each side by '1'. z = 17 Simplifying z = 17
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