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Simplifying r + 11 = 2r + -7 Reorder the terms: 11 + r = 2r + -7 Reorder the terms: 11 + r = -7 + 2r Solving 11 + r = -7 + 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. 11 + r + -2r = -7 + 2r + -2r Combine like terms: r + -2r = -1r 11 + -1r = -7 + 2r + -2r Combine like terms: 2r + -2r = 0 11 + -1r = -7 + 0 11 + -1r = -7 Add '-11' to each side of the equation. 11 + -11 + -1r = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = -7 + -11 -1r = -7 + -11 Combine like terms: -7 + -11 = -18 -1r = -18 Divide each side by '-1'. r = 18 Simplifying r = 18
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