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Simplifying -7(r + -5) = 15 + -3r Reorder the terms: -7(-5 + r) = 15 + -3r (-5 * -7 + r * -7) = 15 + -3r (35 + -7r) = 15 + -3r Solving 35 + -7r = 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. 35 + -7r + 3r = 15 + -3r + 3r Combine like terms: -7r + 3r = -4r 35 + -4r = 15 + -3r + 3r Combine like terms: -3r + 3r = 0 35 + -4r = 15 + 0 35 + -4r = 15 Add '-35' to each side of the equation. 35 + -35 + -4r = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -4r = 15 + -35 -4r = 15 + -35 Combine like terms: 15 + -35 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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