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Simplifying -3(8 + -2r) = 4(6r + -9) (8 * -3 + -2r * -3) = 4(6r + -9) (-24 + 6r) = 4(6r + -9) Reorder the terms: -24 + 6r = 4(-9 + 6r) -24 + 6r = (-9 * 4 + 6r * 4) -24 + 6r = (-36 + 24r) Solving -24 + 6r = -36 + 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. -24 + 6r + -24r = -36 + 24r + -24r Combine like terms: 6r + -24r = -18r -24 + -18r = -36 + 24r + -24r Combine like terms: 24r + -24r = 0 -24 + -18r = -36 + 0 -24 + -18r = -36 Add '24' to each side of the equation. -24 + 24 + -18r = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -18r = -36 + 24 -18r = -36 + 24 Combine like terms: -36 + 24 = -12 -18r = -12 Divide each side by '-18'. r = 0.6666666667 Simplifying r = 0.6666666667
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