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Simplifying -3(r + -5) = (7r + -5) + 7r Reorder the terms: -3(-5 + r) = (7r + -5) + 7r (-5 * -3 + r * -3) = (7r + -5) + 7r (15 + -3r) = (7r + -5) + 7r Reorder the terms: 15 + -3r = (-5 + 7r) + 7r Remove parenthesis around (-5 + 7r) 15 + -3r = -5 + 7r + 7r Combine like terms: 7r + 7r = 14r 15 + -3r = -5 + 14r Solving 15 + -3r = -5 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 15 + -3r + -14r = -5 + 14r + -14r Combine like terms: -3r + -14r = -17r 15 + -17r = -5 + 14r + -14r Combine like terms: 14r + -14r = 0 15 + -17r = -5 + 0 15 + -17r = -5 Add '-15' to each side of the equation. 15 + -15 + -17r = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -17r = -5 + -15 -17r = -5 + -15 Combine like terms: -5 + -15 = -20 -17r = -20 Divide each side by '-17'. r = 1.176470588 Simplifying r = 1.176470588
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