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Simplifying 9(z + -6) = 7z + -40 Reorder the terms: 9(-6 + z) = 7z + -40 (-6 * 9 + z * 9) = 7z + -40 (-54 + 9z) = 7z + -40 Reorder the terms: -54 + 9z = -40 + 7z Solving -54 + 9z = -40 + 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. -54 + 9z + -7z = -40 + 7z + -7z Combine like terms: 9z + -7z = 2z -54 + 2z = -40 + 7z + -7z Combine like terms: 7z + -7z = 0 -54 + 2z = -40 + 0 -54 + 2z = -40 Add '54' to each side of the equation. -54 + 54 + 2z = -40 + 54 Combine like terms: -54 + 54 = 0 0 + 2z = -40 + 54 2z = -40 + 54 Combine like terms: -40 + 54 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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