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Simplifying -7 + -5r = 12(-9r + 5) Reorder the terms: -7 + -5r = 12(5 + -9r) -7 + -5r = (5 * 12 + -9r * 12) -7 + -5r = (60 + -108r) Solving -7 + -5r = 60 + -108r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '108r' to each side of the equation. -7 + -5r + 108r = 60 + -108r + 108r Combine like terms: -5r + 108r = 103r -7 + 103r = 60 + -108r + 108r Combine like terms: -108r + 108r = 0 -7 + 103r = 60 + 0 -7 + 103r = 60 Add '7' to each side of the equation. -7 + 7 + 103r = 60 + 7 Combine like terms: -7 + 7 = 0 0 + 103r = 60 + 7 103r = 60 + 7 Combine like terms: 60 + 7 = 67 103r = 67 Divide each side by '103'. r = 0.6504854369 Simplifying r = 0.6504854369
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