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Simplifying 7(-1r + -15) + 9r = 9r Reorder the terms: 7(-15 + -1r) + 9r = 9r (-15 * 7 + -1r * 7) + 9r = 9r (-105 + -7r) + 9r = 9r Combine like terms: -7r + 9r = 2r -105 + 2r = 9r Solving -105 + 2r = 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -105 + 2r + -9r = 9r + -9r Combine like terms: 2r + -9r = -7r -105 + -7r = 9r + -9r Combine like terms: 9r + -9r = 0 -105 + -7r = 0 Add '105' to each side of the equation. -105 + 105 + -7r = 0 + 105 Combine like terms: -105 + 105 = 0 0 + -7r = 0 + 105 -7r = 0 + 105 Combine like terms: 0 + 105 = 105 -7r = 105 Divide each side by '-7'. r = -15 Simplifying r = -15
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