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Simplifying 2(4r + 6) = 2 + -3(12r + 18) Reorder the terms: 2(6 + 4r) = 2 + -3(12r + 18) (6 * 2 + 4r * 2) = 2 + -3(12r + 18) (12 + 8r) = 2 + -3(12r + 18) Reorder the terms: 12 + 8r = 2 + -3(18 + 12r) 12 + 8r = 2 + (18 * -3 + 12r * -3) 12 + 8r = 2 + (-54 + -36r) Combine like terms: 2 + -54 = -52 12 + 8r = -52 + -36r Solving 12 + 8r = -52 + -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. 12 + 8r + 36r = -52 + -36r + 36r Combine like terms: 8r + 36r = 44r 12 + 44r = -52 + -36r + 36r Combine like terms: -36r + 36r = 0 12 + 44r = -52 + 0 12 + 44r = -52 Add '-12' to each side of the equation. 12 + -12 + 44r = -52 + -12 Combine like terms: 12 + -12 = 0 0 + 44r = -52 + -12 44r = -52 + -12 Combine like terms: -52 + -12 = -64 44r = -64 Divide each side by '44'. r = -1.454545455 Simplifying r = -1.454545455
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