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Simplifying 5(3 + -1r) = -1r + -5 (3 * 5 + -1r * 5) = -1r + -5 (15 + -5r) = -1r + -5 Reorder the terms: 15 + -5r = -5 + -1r Solving 15 + -5r = -5 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 15 + -5r + r = -5 + -1r + r Combine like terms: -5r + r = -4r 15 + -4r = -5 + -1r + r Combine like terms: -1r + r = 0 15 + -4r = -5 + 0 15 + -4r = -5 Add '-15' to each side of the equation. 15 + -15 + -4r = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -4r = -5 + -15 -4r = -5 + -15 Combine like terms: -5 + -15 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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