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Simplifying -1r + 7 + -8r = 11 + -10r Reorder the terms: 7 + -1r + -8r = 11 + -10r Combine like terms: -1r + -8r = -9r 7 + -9r = 11 + -10r Solving 7 + -9r = 11 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 7 + -9r + 10r = 11 + -10r + 10r Combine like terms: -9r + 10r = 1r 7 + 1r = 11 + -10r + 10r Combine like terms: -10r + 10r = 0 7 + 1r = 11 + 0 7 + 1r = 11 Add '-7' to each side of the equation. 7 + -7 + 1r = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 1r = 11 + -7 1r = 11 + -7 Combine like terms: 11 + -7 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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