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Simplifying -8 + -7r = -1(-7 + 2r) -8 + -7r = (-7 * -1 + 2r * -1) -8 + -7r = (7 + -2r) Solving -8 + -7r = 7 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -8 + -7r + 2r = 7 + -2r + 2r Combine like terms: -7r + 2r = -5r -8 + -5r = 7 + -2r + 2r Combine like terms: -2r + 2r = 0 -8 + -5r = 7 + 0 -8 + -5r = 7 Add '8' to each side of the equation. -8 + 8 + -5r = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 7 + 8 -5r = 7 + 8 Combine like terms: 7 + 8 = 15 -5r = 15 Divide each side by '-5'. r = -3 Simplifying r = -3
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