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Simplifying 9 + 9r + -2 = 4r + 56 + -2r Reorder the terms: 9 + -2 + 9r = 4r + 56 + -2r Combine like terms: 9 + -2 = 7 7 + 9r = 4r + 56 + -2r Reorder the terms: 7 + 9r = 56 + 4r + -2r Combine like terms: 4r + -2r = 2r 7 + 9r = 56 + 2r Solving 7 + 9r = 56 + 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 + 9r + -2r = 56 + 2r + -2r Combine like terms: 9r + -2r = 7r 7 + 7r = 56 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + 7r = 56 + 0 7 + 7r = 56 Add '-7' to each side of the equation. 7 + -7 + 7r = 56 + -7 Combine like terms: 7 + -7 = 0 0 + 7r = 56 + -7 7r = 56 + -7 Combine like terms: 56 + -7 = 49 7r = 49 Divide each side by '7'. r = 7 Simplifying r = 7
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