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Simplifying 2(-5 + -1r) + 11r = (-8 + -10r) (-5 * 2 + -1r * 2) + 11r = (-8 + -10r) (-10 + -2r) + 11r = (-8 + -10r) Combine like terms: -2r + 11r = 9r -10 + 9r = (-8 + -10r) Remove parenthesis around (-8 + -10r) -10 + 9r = -8 + -10r Solving -10 + 9r = -8 + -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. -10 + 9r + 10r = -8 + -10r + 10r Combine like terms: 9r + 10r = 19r -10 + 19r = -8 + -10r + 10r Combine like terms: -10r + 10r = 0 -10 + 19r = -8 + 0 -10 + 19r = -8 Add '10' to each side of the equation. -10 + 10 + 19r = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 19r = -8 + 10 19r = -8 + 10 Combine like terms: -8 + 10 = 2 19r = 2 Divide each side by '19'. r = 0.1052631579 Simplifying r = 0.1052631579
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