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Simplifying 3(1 + -3z) = 2(-4z + 7) (1 * 3 + -3z * 3) = 2(-4z + 7) (3 + -9z) = 2(-4z + 7) Reorder the terms: 3 + -9z = 2(7 + -4z) 3 + -9z = (7 * 2 + -4z * 2) 3 + -9z = (14 + -8z) Solving 3 + -9z = 14 + -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. 3 + -9z + 8z = 14 + -8z + 8z Combine like terms: -9z + 8z = -1z 3 + -1z = 14 + -8z + 8z Combine like terms: -8z + 8z = 0 3 + -1z = 14 + 0 3 + -1z = 14 Add '-3' to each side of the equation. 3 + -3 + -1z = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 14 + -3 -1z = 14 + -3 Combine like terms: 14 + -3 = 11 -1z = 11 Divide each side by '-1'. z = -11 Simplifying z = -11
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