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Simplifying -27 + -5r = 8(1 + 3r) -27 + -5r = (1 * 8 + 3r * 8) -27 + -5r = (8 + 24r) Solving -27 + -5r = 8 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -27 + -5r + -24r = 8 + 24r + -24r Combine like terms: -5r + -24r = -29r -27 + -29r = 8 + 24r + -24r Combine like terms: 24r + -24r = 0 -27 + -29r = 8 + 0 -27 + -29r = 8 Add '27' to each side of the equation. -27 + 27 + -29r = 8 + 27 Combine like terms: -27 + 27 = 0 0 + -29r = 8 + 27 -29r = 8 + 27 Combine like terms: 8 + 27 = 35 -29r = 35 Divide each side by '-29'. r = -1.206896552 Simplifying r = -1.206896552
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