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Simplifying 9 + 16r + -2 = 9r + 119 + -7r Reorder the terms: 9 + -2 + 16r = 9r + 119 + -7r Combine like terms: 9 + -2 = 7 7 + 16r = 9r + 119 + -7r Reorder the terms: 7 + 16r = 119 + 9r + -7r Combine like terms: 9r + -7r = 2r 7 + 16r = 119 + 2r Solving 7 + 16r = 119 + 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. 7 + 16r + -2r = 119 + 2r + -2r Combine like terms: 16r + -2r = 14r 7 + 14r = 119 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + 14r = 119 + 0 7 + 14r = 119 Add '-7' to each side of the equation. 7 + -7 + 14r = 119 + -7 Combine like terms: 7 + -7 = 0 0 + 14r = 119 + -7 14r = 119 + -7 Combine like terms: 119 + -7 = 112 14r = 112 Divide each side by '14'. r = 8 Simplifying r = 8
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