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Simplifying 6(4r + -9) = -25 + -3r Reorder the terms: 6(-9 + 4r) = -25 + -3r (-9 * 6 + 4r * 6) = -25 + -3r (-54 + 24r) = -25 + -3r Solving -54 + 24r = -25 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -54 + 24r + 3r = -25 + -3r + 3r Combine like terms: 24r + 3r = 27r -54 + 27r = -25 + -3r + 3r Combine like terms: -3r + 3r = 0 -54 + 27r = -25 + 0 -54 + 27r = -25 Add '54' to each side of the equation. -54 + 54 + 27r = -25 + 54 Combine like terms: -54 + 54 = 0 0 + 27r = -25 + 54 27r = -25 + 54 Combine like terms: -25 + 54 = 29 27r = 29 Divide each side by '27'. r = 1.074074074 Simplifying r = 1.074074074
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