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Simplifying -1(r + 3) = -2(r + 3) + -5r Reorder the terms: -1(3 + r) = -2(r + 3) + -5r (3 * -1 + r * -1) = -2(r + 3) + -5r (-3 + -1r) = -2(r + 3) + -5r Reorder the terms: -3 + -1r = -2(3 + r) + -5r -3 + -1r = (3 * -2 + r * -2) + -5r -3 + -1r = (-6 + -2r) + -5r Combine like terms: -2r + -5r = -7r -3 + -1r = -6 + -7r Solving -3 + -1r = -6 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -3 + -1r + 7r = -6 + -7r + 7r Combine like terms: -1r + 7r = 6r -3 + 6r = -6 + -7r + 7r Combine like terms: -7r + 7r = 0 -3 + 6r = -6 + 0 -3 + 6r = -6 Add '3' to each side of the equation. -3 + 3 + 6r = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 6r = -6 + 3 6r = -6 + 3 Combine like terms: -6 + 3 = -3 6r = -3 Divide each side by '6'. r = -0.5 Simplifying r = -0.5
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