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Simplifying 7z + 5 = 3(3z + -1) Reorder the terms: 5 + 7z = 3(3z + -1) Reorder the terms: 5 + 7z = 3(-1 + 3z) 5 + 7z = (-1 * 3 + 3z * 3) 5 + 7z = (-3 + 9z) Solving 5 + 7z = -3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 5 + 7z + -9z = -3 + 9z + -9z Combine like terms: 7z + -9z = -2z 5 + -2z = -3 + 9z + -9z Combine like terms: 9z + -9z = 0 5 + -2z = -3 + 0 5 + -2z = -3 Add '-5' to each side of the equation. 5 + -5 + -2z = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = -3 + -5 -2z = -3 + -5 Combine like terms: -3 + -5 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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