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Simplifying 9(z + -1) = 7z + -4 Reorder the terms: 9(-1 + z) = 7z + -4 (-1 * 9 + z * 9) = 7z + -4 (-9 + 9z) = 7z + -4 Reorder the terms: -9 + 9z = -4 + 7z Solving -9 + 9z = -4 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -9 + 9z + -7z = -4 + 7z + -7z Combine like terms: 9z + -7z = 2z -9 + 2z = -4 + 7z + -7z Combine like terms: 7z + -7z = 0 -9 + 2z = -4 + 0 -9 + 2z = -4 Add '9' to each side of the equation. -9 + 9 + 2z = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 2z = -4 + 9 2z = -4 + 9 Combine like terms: -4 + 9 = 5 2z = 5 Divide each side by '2'. z = 2.5 Simplifying z = 2.5
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