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Simplifying 3(4r + 48) = 16(3r + -36) Reorder the terms: 3(48 + 4r) = 16(3r + -36) (48 * 3 + 4r * 3) = 16(3r + -36) (144 + 12r) = 16(3r + -36) Reorder the terms: 144 + 12r = 16(-36 + 3r) 144 + 12r = (-36 * 16 + 3r * 16) 144 + 12r = (-576 + 48r) Solving 144 + 12r = -576 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. 144 + 12r + -48r = -576 + 48r + -48r Combine like terms: 12r + -48r = -36r 144 + -36r = -576 + 48r + -48r Combine like terms: 48r + -48r = 0 144 + -36r = -576 + 0 144 + -36r = -576 Add '-144' to each side of the equation. 144 + -144 + -36r = -576 + -144 Combine like terms: 144 + -144 = 0 0 + -36r = -576 + -144 -36r = -576 + -144 Combine like terms: -576 + -144 = -720 -36r = -720 Divide each side by '-36'. r = 20 Simplifying r = 20
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