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Simplifying 40 = 6(12 + -4r) + 2(r + -3) 40 = (12 * 6 + -4r * 6) + 2(r + -3) 40 = (72 + -24r) + 2(r + -3) Reorder the terms: 40 = 72 + -24r + 2(-3 + r) 40 = 72 + -24r + (-3 * 2 + r * 2) 40 = 72 + -24r + (-6 + 2r) Reorder the terms: 40 = 72 + -6 + -24r + 2r Combine like terms: 72 + -6 = 66 40 = 66 + -24r + 2r Combine like terms: -24r + 2r = -22r 40 = 66 + -22r Solving 40 = 66 + -22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22r' to each side of the equation. 40 + 22r = 66 + -22r + 22r Combine like terms: -22r + 22r = 0 40 + 22r = 66 + 0 40 + 22r = 66 Add '-40' to each side of the equation. 40 + -40 + 22r = 66 + -40 Combine like terms: 40 + -40 = 0 0 + 22r = 66 + -40 22r = 66 + -40 Combine like terms: 66 + -40 = 26 22r = 26 Divide each side by '22'. r = 1.181818182 Simplifying r = 1.181818182
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