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Simplifying 1r + -2 = 11 + 1(2r + -5) Reorder the terms: -2 + 1r = 11 + 1(2r + -5) Reorder the terms: -2 + 1r = 11 + 1(-5 + 2r) -2 + 1r = 11 + (-5 * 1 + 2r * 1) -2 + 1r = 11 + (-5 + 2r) Combine like terms: 11 + -5 = 6 -2 + 1r = 6 + 2r Solving -2 + 1r = 6 + 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. -2 + 1r + -2r = 6 + 2r + -2r Combine like terms: 1r + -2r = -1r -2 + -1r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + -1r = 6 + 0 -2 + -1r = 6 Add '2' to each side of the equation. -2 + 2 + -1r = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 6 + 2 -1r = 6 + 2 Combine like terms: 6 + 2 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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