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Simplifying 9 + 10r + -2 = 9r + 35 + -3r Reorder the terms: 9 + -2 + 10r = 9r + 35 + -3r Combine like terms: 9 + -2 = 7 7 + 10r = 9r + 35 + -3r Reorder the terms: 7 + 10r = 35 + 9r + -3r Combine like terms: 9r + -3r = 6r 7 + 10r = 35 + 6r Solving 7 + 10r = 35 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 7 + 10r + -6r = 35 + 6r + -6r Combine like terms: 10r + -6r = 4r 7 + 4r = 35 + 6r + -6r Combine like terms: 6r + -6r = 0 7 + 4r = 35 + 0 7 + 4r = 35 Add '-7' to each side of the equation. 7 + -7 + 4r = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4r = 35 + -7 4r = 35 + -7 Combine like terms: 35 + -7 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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