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Simplifying -5(z + -7) = -4z + -9 Reorder the terms: -5(-7 + z) = -4z + -9 (-7 * -5 + z * -5) = -4z + -9 (35 + -5z) = -4z + -9 Reorder the terms: 35 + -5z = -9 + -4z Solving 35 + -5z = -9 + -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. 35 + -5z + 4z = -9 + -4z + 4z Combine like terms: -5z + 4z = -1z 35 + -1z = -9 + -4z + 4z Combine like terms: -4z + 4z = 0 35 + -1z = -9 + 0 35 + -1z = -9 Add '-35' to each side of the equation. 35 + -35 + -1z = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -1z = -9 + -35 -1z = -9 + -35 Combine like terms: -9 + -35 = -44 -1z = -44 Divide each side by '-1'. z = 44 Simplifying z = 44
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