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Simplifying -4(5 + -3z) = 3z + 61 (5 * -4 + -3z * -4) = 3z + 61 (-20 + 12z) = 3z + 61 Reorder the terms: -20 + 12z = 61 + 3z Solving -20 + 12z = 61 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -20 + 12z + -3z = 61 + 3z + -3z Combine like terms: 12z + -3z = 9z -20 + 9z = 61 + 3z + -3z Combine like terms: 3z + -3z = 0 -20 + 9z = 61 + 0 -20 + 9z = 61 Add '20' to each side of the equation. -20 + 20 + 9z = 61 + 20 Combine like terms: -20 + 20 = 0 0 + 9z = 61 + 20 9z = 61 + 20 Combine like terms: 61 + 20 = 81 9z = 81 Divide each side by '9'. z = 9 Simplifying z = 9
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