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Simplifying -1(-4 + 2r) = 6(-4 + -5r) (-4 * -1 + 2r * -1) = 6(-4 + -5r) (4 + -2r) = 6(-4 + -5r) 4 + -2r = (-4 * 6 + -5r * 6) 4 + -2r = (-24 + -30r) Solving 4 + -2r = -24 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 4 + -2r + 30r = -24 + -30r + 30r Combine like terms: -2r + 30r = 28r 4 + 28r = -24 + -30r + 30r Combine like terms: -30r + 30r = 0 4 + 28r = -24 + 0 4 + 28r = -24 Add '-4' to each side of the equation. 4 + -4 + 28r = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 28r = -24 + -4 28r = -24 + -4 Combine like terms: -24 + -4 = -28 28r = -28 Divide each side by '28'. r = -1 Simplifying r = -1
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