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Simplifying 4(5r + 15) = 20(4r + -12) Reorder the terms: 4(15 + 5r) = 20(4r + -12) (15 * 4 + 5r * 4) = 20(4r + -12) (60 + 20r) = 20(4r + -12) Reorder the terms: 60 + 20r = 20(-12 + 4r) 60 + 20r = (-12 * 20 + 4r * 20) 60 + 20r = (-240 + 80r) Solving 60 + 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. 60 + 20r + -80r = -240 + 80r + -80r Combine like terms: 20r + -80r = -60r 60 + -60r = -240 + 80r + -80r Combine like terms: 80r + -80r = 0 60 + -60r = -240 + 0 60 + -60r = -240 Add '-60' to each side of the equation. 60 + -60 + -60r = -240 + -60 Combine like terms: 60 + -60 = 0 0 + -60r = -240 + -60 -60r = -240 + -60 Combine like terms: -240 + -60 = -300 -60r = -300 Divide each side by '-60'. r = 5 Simplifying r = 5
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