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Simplifying 9(4r + -8) = 4(3r + 12) Reorder the terms: 9(-8 + 4r) = 4(3r + 12) (-8 * 9 + 4r * 9) = 4(3r + 12) (-72 + 36r) = 4(3r + 12) Reorder the terms: -72 + 36r = 4(12 + 3r) -72 + 36r = (12 * 4 + 3r * 4) -72 + 36r = (48 + 12r) Solving -72 + 36r = 48 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -72 + 36r + -12r = 48 + 12r + -12r Combine like terms: 36r + -12r = 24r -72 + 24r = 48 + 12r + -12r Combine like terms: 12r + -12r = 0 -72 + 24r = 48 + 0 -72 + 24r = 48 Add '72' to each side of the equation. -72 + 72 + 24r = 48 + 72 Combine like terms: -72 + 72 = 0 0 + 24r = 48 + 72 24r = 48 + 72 Combine like terms: 48 + 72 = 120 24r = 120 Divide each side by '24'. r = 5 Simplifying r = 5
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