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Simplifying -270 = -5r + -6(6r + 4) Reorder the terms: -270 = -5r + -6(4 + 6r) -270 = -5r + (4 * -6 + 6r * -6) -270 = -5r + (-24 + -36r) Reorder the terms: -270 = -24 + -5r + -36r Combine like terms: -5r + -36r = -41r -270 = -24 + -41r Solving -270 = -24 + -41r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '41r' to each side of the equation. -270 + 41r = -24 + -41r + 41r Combine like terms: -41r + 41r = 0 -270 + 41r = -24 + 0 -270 + 41r = -24 Add '270' to each side of the equation. -270 + 270 + 41r = -24 + 270 Combine like terms: -270 + 270 = 0 0 + 41r = -24 + 270 41r = -24 + 270 Combine like terms: -24 + 270 = 246 41r = 246 Divide each side by '41'. r = 6 Simplifying r = 6
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