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Simplifying -6(-8 + -3r) = -3(2r + 8) (-8 * -6 + -3r * -6) = -3(2r + 8) (48 + 18r) = -3(2r + 8) Reorder the terms: 48 + 18r = -3(8 + 2r) 48 + 18r = (8 * -3 + 2r * -3) 48 + 18r = (-24 + -6r) Solving 48 + 18r = -24 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 48 + 18r + 6r = -24 + -6r + 6r Combine like terms: 18r + 6r = 24r 48 + 24r = -24 + -6r + 6r Combine like terms: -6r + 6r = 0 48 + 24r = -24 + 0 48 + 24r = -24 Add '-48' to each side of the equation. 48 + -48 + 24r = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 24r = -24 + -48 24r = -24 + -48 Combine like terms: -24 + -48 = -72 24r = -72 Divide each side by '24'. r = -3 Simplifying r = -3
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