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Simplifying -3 + 6(r + -2) = 5(r + -1) Reorder the terms: -3 + 6(-2 + r) = 5(r + -1) -3 + (-2 * 6 + r * 6) = 5(r + -1) -3 + (-12 + 6r) = 5(r + -1) Combine like terms: -3 + -12 = -15 -15 + 6r = 5(r + -1) Reorder the terms: -15 + 6r = 5(-1 + r) -15 + 6r = (-1 * 5 + r * 5) -15 + 6r = (-5 + 5r) Solving -15 + 6r = -5 + 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. -15 + 6r + -5r = -5 + 5r + -5r Combine like terms: 6r + -5r = 1r -15 + 1r = -5 + 5r + -5r Combine like terms: 5r + -5r = 0 -15 + 1r = -5 + 0 -15 + 1r = -5 Add '15' to each side of the equation. -15 + 15 + 1r = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 1r = -5 + 15 1r = -5 + 15 Combine like terms: -5 + 15 = 10 1r = 10 Divide each side by '1'. r = 10 Simplifying r = 10
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