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Simplifying 6(2r + 16) = 4(4r + -12) Reorder the terms: 6(16 + 2r) = 4(4r + -12) (16 * 6 + 2r * 6) = 4(4r + -12) (96 + 12r) = 4(4r + -12) Reorder the terms: 96 + 12r = 4(-12 + 4r) 96 + 12r = (-12 * 4 + 4r * 4) 96 + 12r = (-48 + 16r) Solving 96 + 12r = -48 + 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 + 12r + -16r = -48 + 16r + -16r Combine like terms: 12r + -16r = -4r 96 + -4r = -48 + 16r + -16r Combine like terms: 16r + -16r = 0 96 + -4r = -48 + 0 96 + -4r = -48 Add '-96' to each side of the equation. 96 + -96 + -4r = -48 + -96 Combine like terms: 96 + -96 = 0 0 + -4r = -48 + -96 -4r = -48 + -96 Combine like terms: -48 + -96 = -144 -4r = -144 Divide each side by '-4'. r = 36 Simplifying r = 36
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