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Simplifying -12 + -2r = -2(1 + -4r) -12 + -2r = (1 * -2 + -4r * -2) -12 + -2r = (-2 + 8r) Solving -12 + -2r = -2 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -12 + -2r + -8r = -2 + 8r + -8r Combine like terms: -2r + -8r = -10r -12 + -10r = -2 + 8r + -8r Combine like terms: 8r + -8r = 0 -12 + -10r = -2 + 0 -12 + -10r = -2 Add '12' to each side of the equation. -12 + 12 + -10r = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -10r = -2 + 12 -10r = -2 + 12 Combine like terms: -2 + 12 = 10 -10r = 10 Divide each side by '-10'. r = -1 Simplifying r = -1
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