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