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Simplifying -2r + -10(r + 12) = -3(4r + -2) + -2 Reorder the terms: -2r + -10(12 + r) = -3(4r + -2) + -2 -2r + (12 * -10 + r * -10) = -3(4r + -2) + -2 -2r + (-120 + -10r) = -3(4r + -2) + -2 Reorder the terms: -120 + -2r + -10r = -3(4r + -2) + -2 Combine like terms: -2r + -10r = -12r -120 + -12r = -3(4r + -2) + -2 Reorder the terms: -120 + -12r = -3(-2 + 4r) + -2 -120 + -12r = (-2 * -3 + 4r * -3) + -2 -120 + -12r = (6 + -12r) + -2 Reorder the terms: -120 + -12r = 6 + -2 + -12r Combine like terms: 6 + -2 = 4 -120 + -12r = 4 + -12r Add '12r' to each side of the equation. -120 + -12r + 12r = 4 + -12r + 12r Combine like terms: -12r + 12r = 0 -120 + 0 = 4 + -12r + 12r -120 = 4 + -12r + 12r Combine like terms: -12r + 12r = 0 -120 = 4 + 0 -120 = 4 Solving -120 = 4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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