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Simplifying 6(4r + 12) = -2(2r + 20) Reorder the terms: 6(12 + 4r) = -2(2r + 20) (12 * 6 + 4r * 6) = -2(2r + 20) (72 + 24r) = -2(2r + 20) Reorder the terms: 72 + 24r = -2(20 + 2r) 72 + 24r = (20 * -2 + 2r * -2) 72 + 24r = (-40 + -4r) Solving 72 + 24r = -40 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 72 + 24r + 4r = -40 + -4r + 4r Combine like terms: 24r + 4r = 28r 72 + 28r = -40 + -4r + 4r Combine like terms: -4r + 4r = 0 72 + 28r = -40 + 0 72 + 28r = -40 Add '-72' to each side of the equation. 72 + -72 + 28r = -40 + -72 Combine like terms: 72 + -72 = 0 0 + 28r = -40 + -72 28r = -40 + -72 Combine like terms: -40 + -72 = -112 28r = -112 Divide each side by '28'. r = -4 Simplifying r = -4
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