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