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Simplifying -1(r + -1) + 2r = -4(-1r + -2) + -2r Reorder the terms: -1(-1 + r) + 2r = -4(-1r + -2) + -2r (-1 * -1 + r * -1) + 2r = -4(-1r + -2) + -2r (1 + -1r) + 2r = -4(-1r + -2) + -2r Combine like terms: -1r + 2r = 1r 1 + 1r = -4(-1r + -2) + -2r Reorder the terms: 1 + 1r = -4(-2 + -1r) + -2r 1 + 1r = (-2 * -4 + -1r * -4) + -2r 1 + 1r = (8 + 4r) + -2r Combine like terms: 4r + -2r = 2r 1 + 1r = 8 + 2r Solving 1 + 1r = 8 + 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. 1 + 1r + -2r = 8 + 2r + -2r Combine like terms: 1r + -2r = -1r 1 + -1r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + -1r = 8 + 0 1 + -1r = 8 Add '-1' to each side of the equation. 1 + -1 + -1r = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 8 + -1 -1r = 8 + -1 Combine like terms: 8 + -1 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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