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Simplifying -120 = 5(7z + 4) Reorder the terms: -120 = 5(4 + 7z) -120 = (4 * 5 + 7z * 5) -120 = (20 + 35z) Solving -120 = 20 + 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. -120 + -35z = 20 + 35z + -35z Combine like terms: 35z + -35z = 0 -120 + -35z = 20 + 0 -120 + -35z = 20 Add '120' to each side of the equation. -120 + 120 + -35z = 20 + 120 Combine like terms: -120 + 120 = 0 0 + -35z = 20 + 120 -35z = 20 + 120 Combine like terms: 20 + 120 = 140 -35z = 140 Divide each side by '-35'. z = -4 Simplifying z = -4
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