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Simplifying 5(1 + -2r) + -1r = -23 + -4r (1 * 5 + -2r * 5) + -1r = -23 + -4r (5 + -10r) + -1r = -23 + -4r Combine like terms: -10r + -1r = -11r 5 + -11r = -23 + -4r Solving 5 + -11r = -23 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 5 + -11r + 4r = -23 + -4r + 4r Combine like terms: -11r + 4r = -7r 5 + -7r = -23 + -4r + 4r Combine like terms: -4r + 4r = 0 5 + -7r = -23 + 0 5 + -7r = -23 Add '-5' to each side of the equation. 5 + -5 + -7r = -23 + -5 Combine like terms: 5 + -5 = 0 0 + -7r = -23 + -5 -7r = -23 + -5 Combine like terms: -23 + -5 = -28 -7r = -28 Divide each side by '-7'. r = 4 Simplifying r = 4
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