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Simplifying 15 = 9r + 1 + -7r Reorder the terms: 15 = 1 + 9r + -7r Combine like terms: 9r + -7r = 2r 15 = 1 + 2r Solving 15 = 1 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 15 + -2r = 1 + 2r + -2r Combine like terms: 2r + -2r = 0 15 + -2r = 1 + 0 15 + -2r = 1 Add '-15' to each side of the equation. 15 + -15 + -2r = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -2r = 1 + -15 -2r = 1 + -15 Combine like terms: 1 + -15 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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