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Simplifying 5(12 + r) = 2(r + 6) (12 * 5 + r * 5) = 2(r + 6) (60 + 5r) = 2(r + 6) Reorder the terms: 60 + 5r = 2(6 + r) 60 + 5r = (6 * 2 + r * 2) 60 + 5r = (12 + 2r) Solving 60 + 5r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 60 + 5r + -2r = 12 + 2r + -2r Combine like terms: 5r + -2r = 3r 60 + 3r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 60 + 3r = 12 + 0 60 + 3r = 12 Add '-60' to each side of the equation. 60 + -60 + 3r = 12 + -60 Combine like terms: 60 + -60 = 0 0 + 3r = 12 + -60 3r = 12 + -60 Combine like terms: 12 + -60 = -48 3r = -48 Divide each side by '3'. r = -16 Simplifying r = -16
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