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Simplifying 3(2r + 18) = 8(3r + -27) Reorder the terms: 3(18 + 2r) = 8(3r + -27) (18 * 3 + 2r * 3) = 8(3r + -27) (54 + 6r) = 8(3r + -27) Reorder the terms: 54 + 6r = 8(-27 + 3r) 54 + 6r = (-27 * 8 + 3r * 8) 54 + 6r = (-216 + 24r) Solving 54 + 6r = -216 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 54 + 6r + -24r = -216 + 24r + -24r Combine like terms: 6r + -24r = -18r 54 + -18r = -216 + 24r + -24r Combine like terms: 24r + -24r = 0 54 + -18r = -216 + 0 54 + -18r = -216 Add '-54' to each side of the equation. 54 + -54 + -18r = -216 + -54 Combine like terms: 54 + -54 = 0 0 + -18r = -216 + -54 -18r = -216 + -54 Combine like terms: -216 + -54 = -270 -18r = -270 Divide each side by '-18'. r = 15 Simplifying r = 15
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