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Simplifying 2(r + -5) = -1(-11r + -8) Reorder the terms: 2(-5 + r) = -1(-11r + -8) (-5 * 2 + r * 2) = -1(-11r + -8) (-10 + 2r) = -1(-11r + -8) Reorder the terms: -10 + 2r = -1(-8 + -11r) -10 + 2r = (-8 * -1 + -11r * -1) -10 + 2r = (8 + 11r) Solving -10 + 2r = 8 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -10 + 2r + -11r = 8 + 11r + -11r Combine like terms: 2r + -11r = -9r -10 + -9r = 8 + 11r + -11r Combine like terms: 11r + -11r = 0 -10 + -9r = 8 + 0 -10 + -9r = 8 Add '10' to each side of the equation. -10 + 10 + -9r = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -9r = 8 + 10 -9r = 8 + 10 Combine like terms: 8 + 10 = 18 -9r = 18 Divide each side by '-9'. r = -2 Simplifying r = -2
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