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Simplifying 2(r + 18) = 3(2r + -4) Reorder the terms: 2(18 + r) = 3(2r + -4) (18 * 2 + r * 2) = 3(2r + -4) (36 + 2r) = 3(2r + -4) Reorder the terms: 36 + 2r = 3(-4 + 2r) 36 + 2r = (-4 * 3 + 2r * 3) 36 + 2r = (-12 + 6r) Solving 36 + 2r = -12 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 36 + 2r + -6r = -12 + 6r + -6r Combine like terms: 2r + -6r = -4r 36 + -4r = -12 + 6r + -6r Combine like terms: 6r + -6r = 0 36 + -4r = -12 + 0 36 + -4r = -12 Add '-36' to each side of the equation. 36 + -36 + -4r = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -4r = -12 + -36 -4r = -12 + -36 Combine like terms: -12 + -36 = -48 -4r = -48 Divide each side by '-4'. r = 12 Simplifying r = 12
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