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Simplifying 4(3r + 6) = 9(4r + -8) Reorder the terms: 4(6 + 3r) = 9(4r + -8) (6 * 4 + 3r * 4) = 9(4r + -8) (24 + 12r) = 9(4r + -8) Reorder the terms: 24 + 12r = 9(-8 + 4r) 24 + 12r = (-8 * 9 + 4r * 9) 24 + 12r = (-72 + 36r) Solving 24 + 12r = -72 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. 24 + 12r + -36r = -72 + 36r + -36r Combine like terms: 12r + -36r = -24r 24 + -24r = -72 + 36r + -36r Combine like terms: 36r + -36r = 0 24 + -24r = -72 + 0 24 + -24r = -72 Add '-24' to each side of the equation. 24 + -24 + -24r = -72 + -24 Combine like terms: 24 + -24 = 0 0 + -24r = -72 + -24 -24r = -72 + -24 Combine like terms: -72 + -24 = -96 -24r = -96 Divide each side by '-24'. r = 4 Simplifying r = 4
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