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Simplifying 4(5r + 30) = 20(4r + -12) Reorder the terms: 4(30 + 5r) = 20(4r + -12) (30 * 4 + 5r * 4) = 20(4r + -12) (120 + 20r) = 20(4r + -12) Reorder the terms: 120 + 20r = 20(-12 + 4r) 120 + 20r = (-12 * 20 + 4r * 20) 120 + 20r = (-240 + 80r) Solving 120 + 20r = -240 + 80r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-80r' to each side of the equation. 120 + 20r + -80r = -240 + 80r + -80r Combine like terms: 20r + -80r = -60r 120 + -60r = -240 + 80r + -80r Combine like terms: 80r + -80r = 0 120 + -60r = -240 + 0 120 + -60r = -240 Add '-120' to each side of the equation. 120 + -120 + -60r = -240 + -120 Combine like terms: 120 + -120 = 0 0 + -60r = -240 + -120 -60r = -240 + -120 Combine like terms: -240 + -120 = -360 -60r = -360 Divide each side by '-60'. r = 6 Simplifying r = 6
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