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Simplifying 12(4r + -8) = 4(4r + 24) Reorder the terms: 12(-8 + 4r) = 4(4r + 24) (-8 * 12 + 4r * 12) = 4(4r + 24) (-96 + 48r) = 4(4r + 24) Reorder the terms: -96 + 48r = 4(24 + 4r) -96 + 48r = (24 * 4 + 4r * 4) -96 + 48r = (96 + 16r) Solving -96 + 48r = 96 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. -96 + 48r + -16r = 96 + 16r + -16r Combine like terms: 48r + -16r = 32r -96 + 32r = 96 + 16r + -16r Combine like terms: 16r + -16r = 0 -96 + 32r = 96 + 0 -96 + 32r = 96 Add '96' to each side of the equation. -96 + 96 + 32r = 96 + 96 Combine like terms: -96 + 96 = 0 0 + 32r = 96 + 96 32r = 96 + 96 Combine like terms: 96 + 96 = 192 32r = 192 Divide each side by '32'. r = 6 Simplifying r = 6
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