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Simplifying -2(r + 5) = 3(r + -5) Reorder the terms: -2(5 + r) = 3(r + -5) (5 * -2 + r * -2) = 3(r + -5) (-10 + -2r) = 3(r + -5) Reorder the terms: -10 + -2r = 3(-5 + r) -10 + -2r = (-5 * 3 + r * 3) -10 + -2r = (-15 + 3r) Solving -10 + -2r = -15 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -10 + -2r + -3r = -15 + 3r + -3r Combine like terms: -2r + -3r = -5r -10 + -5r = -15 + 3r + -3r Combine like terms: 3r + -3r = 0 -10 + -5r = -15 + 0 -10 + -5r = -15 Add '10' to each side of the equation. -10 + 10 + -5r = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -5r = -15 + 10 -5r = -15 + 10 Combine like terms: -15 + 10 = -5 -5r = -5 Divide each side by '-5'. r = 1 Simplifying r = 1
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