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Simplifying 4(3z + 10) = 5z + -9 Reorder the terms: 4(10 + 3z) = 5z + -9 (10 * 4 + 3z * 4) = 5z + -9 (40 + 12z) = 5z + -9 Reorder the terms: 40 + 12z = -9 + 5z Solving 40 + 12z = -9 + 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. 40 + 12z + -5z = -9 + 5z + -5z Combine like terms: 12z + -5z = 7z 40 + 7z = -9 + 5z + -5z Combine like terms: 5z + -5z = 0 40 + 7z = -9 + 0 40 + 7z = -9 Add '-40' to each side of the equation. 40 + -40 + 7z = -9 + -40 Combine like terms: 40 + -40 = 0 0 + 7z = -9 + -40 7z = -9 + -40 Combine like terms: -9 + -40 = -49 7z = -49 Divide each side by '7'. z = -7 Simplifying z = -7
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