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Simplifying 4(4r + 24) = 16(4r + -12) Reorder the terms: 4(24 + 4r) = 16(4r + -12) (24 * 4 + 4r * 4) = 16(4r + -12) (96 + 16r) = 16(4r + -12) Reorder the terms: 96 + 16r = 16(-12 + 4r) 96 + 16r = (-12 * 16 + 4r * 16) 96 + 16r = (-192 + 64r) Solving 96 + 16r = -192 + 64r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-64r' to each side of the equation. 96 + 16r + -64r = -192 + 64r + -64r Combine like terms: 16r + -64r = -48r 96 + -48r = -192 + 64r + -64r Combine like terms: 64r + -64r = 0 96 + -48r = -192 + 0 96 + -48r = -192 Add '-96' to each side of the equation. 96 + -96 + -48r = -192 + -96 Combine like terms: 96 + -96 = 0 0 + -48r = -192 + -96 -48r = -192 + -96 Combine like terms: -192 + -96 = -288 -48r = -288 Divide each side by '-48'. r = 6 Simplifying r = 6
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