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Simplifying 3(r + -1) = -1(6 + -2r) Reorder the terms: 3(-1 + r) = -1(6 + -2r) (-1 * 3 + r * 3) = -1(6 + -2r) (-3 + 3r) = -1(6 + -2r) -3 + 3r = (6 * -1 + -2r * -1) -3 + 3r = (-6 + 2r) Solving -3 + 3r = -6 + 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. -3 + 3r + -2r = -6 + 2r + -2r Combine like terms: 3r + -2r = 1r -3 + 1r = -6 + 2r + -2r Combine like terms: 2r + -2r = 0 -3 + 1r = -6 + 0 -3 + 1r = -6 Add '3' to each side of the equation. -3 + 3 + 1r = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1r = -6 + 3 1r = -6 + 3 Combine like terms: -6 + 3 = -3 1r = -3 Divide each side by '1'. r = -3 Simplifying r = -3
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