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Simplifying -4(z + -5) = -3z + -9 Reorder the terms: -4(-5 + z) = -3z + -9 (-5 * -4 + z * -4) = -3z + -9 (20 + -4z) = -3z + -9 Reorder the terms: 20 + -4z = -9 + -3z Solving 20 + -4z = -9 + -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 + -4z + 3z = -9 + -3z + 3z Combine like terms: -4z + 3z = -1z 20 + -1z = -9 + -3z + 3z Combine like terms: -3z + 3z = 0 20 + -1z = -9 + 0 20 + -1z = -9 Add '-20' to each side of the equation. 20 + -20 + -1z = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = -9 + -20 -1z = -9 + -20 Combine like terms: -9 + -20 = -29 -1z = -29 Divide each side by '-1'. z = 29 Simplifying z = 29
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