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Simplifying -12r + -12 = -2(5r + -1) Reorder the terms: -12 + -12r = -2(5r + -1) Reorder the terms: -12 + -12r = -2(-1 + 5r) -12 + -12r = (-1 * -2 + 5r * -2) -12 + -12r = (2 + -10r) Solving -12 + -12r = 2 + -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. -12 + -12r + 10r = 2 + -10r + 10r Combine like terms: -12r + 10r = -2r -12 + -2r = 2 + -10r + 10r Combine like terms: -10r + 10r = 0 -12 + -2r = 2 + 0 -12 + -2r = 2 Add '12' to each side of the equation. -12 + 12 + -2r = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2r = 2 + 12 -2r = 2 + 12 Combine like terms: 2 + 12 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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