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Simplifying 4(4r + 48) = 16(4r + -36) Reorder the terms: 4(48 + 4r) = 16(4r + -36) (48 * 4 + 4r * 4) = 16(4r + -36) (192 + 16r) = 16(4r + -36) Reorder the terms: 192 + 16r = 16(-36 + 4r) 192 + 16r = (-36 * 16 + 4r * 16) 192 + 16r = (-576 + 64r) Solving 192 + 16r = -576 + 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. 192 + 16r + -64r = -576 + 64r + -64r Combine like terms: 16r + -64r = -48r 192 + -48r = -576 + 64r + -64r Combine like terms: 64r + -64r = 0 192 + -48r = -576 + 0 192 + -48r = -576 Add '-192' to each side of the equation. 192 + -192 + -48r = -576 + -192 Combine like terms: 192 + -192 = 0 0 + -48r = -576 + -192 -48r = -576 + -192 Combine like terms: -576 + -192 = -768 -48r = -768 Divide each side by '-48'. r = 16 Simplifying r = 16
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