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Simplifying -3(6 + -4z) = 5z + 45 (6 * -3 + -4z * -3) = 5z + 45 (-18 + 12z) = 5z + 45 Reorder the terms: -18 + 12z = 45 + 5z Solving -18 + 12z = 45 + 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. -18 + 12z + -5z = 45 + 5z + -5z Combine like terms: 12z + -5z = 7z -18 + 7z = 45 + 5z + -5z Combine like terms: 5z + -5z = 0 -18 + 7z = 45 + 0 -18 + 7z = 45 Add '18' to each side of the equation. -18 + 18 + 7z = 45 + 18 Combine like terms: -18 + 18 = 0 0 + 7z = 45 + 18 7z = 45 + 18 Combine like terms: 45 + 18 = 63 7z = 63 Divide each side by '7'. z = 9 Simplifying z = 9
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