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Simplifying -5(z + -9) = -4z + -7 Reorder the terms: -5(-9 + z) = -4z + -7 (-9 * -5 + z * -5) = -4z + -7 (45 + -5z) = -4z + -7 Reorder the terms: 45 + -5z = -7 + -4z Solving 45 + -5z = -7 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 45 + -5z + 4z = -7 + -4z + 4z Combine like terms: -5z + 4z = -1z 45 + -1z = -7 + -4z + 4z Combine like terms: -4z + 4z = 0 45 + -1z = -7 + 0 45 + -1z = -7 Add '-45' to each side of the equation. 45 + -45 + -1z = -7 + -45 Combine like terms: 45 + -45 = 0 0 + -1z = -7 + -45 -1z = -7 + -45 Combine like terms: -7 + -45 = -52 -1z = -52 Divide each side by '-1'. z = 52 Simplifying z = 52
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