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Simplifying 4(2r + 4) = 6(4r + -16) Reorder the terms: 4(4 + 2r) = 6(4r + -16) (4 * 4 + 2r * 4) = 6(4r + -16) (16 + 8r) = 6(4r + -16) Reorder the terms: 16 + 8r = 6(-16 + 4r) 16 + 8r = (-16 * 6 + 4r * 6) 16 + 8r = (-96 + 24r) Solving 16 + 8r = -96 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 16 + 8r + -24r = -96 + 24r + -24r Combine like terms: 8r + -24r = -16r 16 + -16r = -96 + 24r + -24r Combine like terms: 24r + -24r = 0 16 + -16r = -96 + 0 16 + -16r = -96 Add '-16' to each side of the equation. 16 + -16 + -16r = -96 + -16 Combine like terms: 16 + -16 = 0 0 + -16r = -96 + -16 -16r = -96 + -16 Combine like terms: -96 + -16 = -112 -16r = -112 Divide each side by '-16'. r = 7 Simplifying r = 7
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