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Simplifying -8 + -7r = -2r + -7(8 + -1r) -8 + -7r = -2r + (8 * -7 + -1r * -7) -8 + -7r = -2r + (-56 + 7r) Reorder the terms: -8 + -7r = -56 + -2r + 7r Combine like terms: -2r + 7r = 5r -8 + -7r = -56 + 5r Solving -8 + -7r = -56 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -8 + -7r + -5r = -56 + 5r + -5r Combine like terms: -7r + -5r = -12r -8 + -12r = -56 + 5r + -5r Combine like terms: 5r + -5r = 0 -8 + -12r = -56 + 0 -8 + -12r = -56 Add '8' to each side of the equation. -8 + 8 + -12r = -56 + 8 Combine like terms: -8 + 8 = 0 0 + -12r = -56 + 8 -12r = -56 + 8 Combine like terms: -56 + 8 = -48 -12r = -48 Divide each side by '-12'. r = 4 Simplifying r = 4
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