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Simplifying -2(6r + -2) = -5(2r + -6) + 2 Reorder the terms: -2(-2 + 6r) = -5(2r + -6) + 2 (-2 * -2 + 6r * -2) = -5(2r + -6) + 2 (4 + -12r) = -5(2r + -6) + 2 Reorder the terms: 4 + -12r = -5(-6 + 2r) + 2 4 + -12r = (-6 * -5 + 2r * -5) + 2 4 + -12r = (30 + -10r) + 2 Reorder the terms: 4 + -12r = 30 + 2 + -10r Combine like terms: 30 + 2 = 32 4 + -12r = 32 + -10r Solving 4 + -12r = 32 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 4 + -12r + 10r = 32 + -10r + 10r Combine like terms: -12r + 10r = -2r 4 + -2r = 32 + -10r + 10r Combine like terms: -10r + 10r = 0 4 + -2r = 32 + 0 4 + -2r = 32 Add '-4' to each side of the equation. 4 + -4 + -2r = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = 32 + -4 -2r = 32 + -4 Combine like terms: 32 + -4 = 28 -2r = 28 Divide each side by '-2'. r = -14 Simplifying r = -14
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