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Simplifying 5(r + -1) = 2r(2 + -4) * 6 Reorder the terms: 5(-1 + r) = 2r(2 + -4) * 6 (-1 * 5 + r * 5) = 2r(2 + -4) * 6 (-5 + 5r) = 2r(2 + -4) * 6 Combine like terms: 2 + -4 = -2 -5 + 5r = 2r(-2) * 6 Reorder the terms for easier multiplication: -5 + 5r = 2 * -2 * 6r Multiply 2 * -2 -5 + 5r = -4 * 6r Multiply -4 * 6 -5 + 5r = -24r Solving -5 + 5r = -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. -5 + 5r + 24r = -24r + 24r Combine like terms: 5r + 24r = 29r -5 + 29r = -24r + 24r Combine like terms: -24r + 24r = 0 -5 + 29r = 0 Add '5' to each side of the equation. -5 + 5 + 29r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 29r = 0 + 5 29r = 0 + 5 Combine like terms: 0 + 5 = 5 29r = 5 Divide each side by '29'. r = 0.1724137931 Simplifying r = 0.1724137931
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