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Simplifying 3(5z + 7) = 4(2z + -7) Reorder the terms: 3(7 + 5z) = 4(2z + -7) (7 * 3 + 5z * 3) = 4(2z + -7) (21 + 15z) = 4(2z + -7) Reorder the terms: 21 + 15z = 4(-7 + 2z) 21 + 15z = (-7 * 4 + 2z * 4) 21 + 15z = (-28 + 8z) Solving 21 + 15z = -28 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 21 + 15z + -8z = -28 + 8z + -8z Combine like terms: 15z + -8z = 7z 21 + 7z = -28 + 8z + -8z Combine like terms: 8z + -8z = 0 21 + 7z = -28 + 0 21 + 7z = -28 Add '-21' to each side of the equation. 21 + -21 + 7z = -28 + -21 Combine like terms: 21 + -21 = 0 0 + 7z = -28 + -21 7z = -28 + -21 Combine like terms: -28 + -21 = -49 7z = -49 Divide each side by '7'. z = -7 Simplifying z = -7
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