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Simplifying -6(4r + -5) = -18 + -8r Reorder the terms: -6(-5 + 4r) = -18 + -8r (-5 * -6 + 4r * -6) = -18 + -8r (30 + -24r) = -18 + -8r Solving 30 + -24r = -18 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 30 + -24r + 8r = -18 + -8r + 8r Combine like terms: -24r + 8r = -16r 30 + -16r = -18 + -8r + 8r Combine like terms: -8r + 8r = 0 30 + -16r = -18 + 0 30 + -16r = -18 Add '-30' to each side of the equation. 30 + -30 + -16r = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -16r = -18 + -30 -16r = -18 + -30 Combine like terms: -18 + -30 = -48 -16r = -48 Divide each side by '-16'. r = 3 Simplifying r = 3
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