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Simplifying 7(z + 3) = 5(z + -1) Reorder the terms: 7(3 + z) = 5(z + -1) (3 * 7 + z * 7) = 5(z + -1) (21 + 7z) = 5(z + -1) Reorder the terms: 21 + 7z = 5(-1 + z) 21 + 7z = (-1 * 5 + z * 5) 21 + 7z = (-5 + 5z) Solving 21 + 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. 21 + 7z + -5z = -5 + 5z + -5z Combine like terms: 7z + -5z = 2z 21 + 2z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 21 + 2z = -5 + 0 21 + 2z = -5 Add '-21' to each side of the equation. 21 + -21 + 2z = -5 + -21 Combine like terms: 21 + -21 = 0 0 + 2z = -5 + -21 2z = -5 + -21 Combine like terms: -5 + -21 = -26 2z = -26 Divide each side by '2'. z = -13 Simplifying z = -13
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