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Simplifying (2r + 4) * 4 = 6(4r + -8) Reorder the terms: (4 + 2r) * 4 = 6(4r + -8) Reorder the terms for easier multiplication: 4(4 + 2r) = 6(4r + -8) (4 * 4 + 2r * 4) = 6(4r + -8) (16 + 8r) = 6(4r + -8) Reorder the terms: 16 + 8r = 6(-8 + 4r) 16 + 8r = (-8 * 6 + 4r * 6) 16 + 8r = (-48 + 24r) Solving 16 + 8r = -48 + 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 = -48 + 24r + -24r Combine like terms: 8r + -24r = -16r 16 + -16r = -48 + 24r + -24r Combine like terms: 24r + -24r = 0 16 + -16r = -48 + 0 16 + -16r = -48 Add '-16' to each side of the equation. 16 + -16 + -16r = -48 + -16 Combine like terms: 16 + -16 = 0 0 + -16r = -48 + -16 -16r = -48 + -16 Combine like terms: -48 + -16 = -64 -16r = -64 Divide each side by '-16'. r = 4 Simplifying r = 4
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