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Simplifying 2(6 + -5r) = 3(-4r + -2) (6 * 2 + -5r * 2) = 3(-4r + -2) (12 + -10r) = 3(-4r + -2) Reorder the terms: 12 + -10r = 3(-2 + -4r) 12 + -10r = (-2 * 3 + -4r * 3) 12 + -10r = (-6 + -12r) Solving 12 + -10r = -6 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 12 + -10r + 12r = -6 + -12r + 12r Combine like terms: -10r + 12r = 2r 12 + 2r = -6 + -12r + 12r Combine like terms: -12r + 12r = 0 12 + 2r = -6 + 0 12 + 2r = -6 Add '-12' to each side of the equation. 12 + -12 + 2r = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = -6 + -12 2r = -6 + -12 Combine like terms: -6 + -12 = -18 2r = -18 Divide each side by '2'. r = -9 Simplifying r = -9
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