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Simplifying -5(z + -20) = -4z + -6 Reorder the terms: -5(-20 + z) = -4z + -6 (-20 * -5 + z * -5) = -4z + -6 (100 + -5z) = -4z + -6 Reorder the terms: 100 + -5z = -6 + -4z Solving 100 + -5z = -6 + -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. 100 + -5z + 4z = -6 + -4z + 4z Combine like terms: -5z + 4z = -1z 100 + -1z = -6 + -4z + 4z Combine like terms: -4z + 4z = 0 100 + -1z = -6 + 0 100 + -1z = -6 Add '-100' to each side of the equation. 100 + -100 + -1z = -6 + -100 Combine like terms: 100 + -100 = 0 0 + -1z = -6 + -100 -1z = -6 + -100 Combine like terms: -6 + -100 = -106 -1z = -106 Divide each side by '-1'. z = 106 Simplifying z = 106
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