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Simplifying 6(4r + -16) = 4(2r + 12) Reorder the terms: 6(-16 + 4r) = 4(2r + 12) (-16 * 6 + 4r * 6) = 4(2r + 12) (-96 + 24r) = 4(2r + 12) Reorder the terms: -96 + 24r = 4(12 + 2r) -96 + 24r = (12 * 4 + 2r * 4) -96 + 24r = (48 + 8r) Solving -96 + 24r = 48 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -96 + 24r + -8r = 48 + 8r + -8r Combine like terms: 24r + -8r = 16r -96 + 16r = 48 + 8r + -8r Combine like terms: 8r + -8r = 0 -96 + 16r = 48 + 0 -96 + 16r = 48 Add '96' to each side of the equation. -96 + 96 + 16r = 48 + 96 Combine like terms: -96 + 96 = 0 0 + 16r = 48 + 96 16r = 48 + 96 Combine like terms: 48 + 96 = 144 16r = 144 Divide each side by '16'. r = 9 Simplifying r = 9
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