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Simplifying 4(3r + 18) = 12(4r + -48) Reorder the terms: 4(18 + 3r) = 12(4r + -48) (18 * 4 + 3r * 4) = 12(4r + -48) (72 + 12r) = 12(4r + -48) Reorder the terms: 72 + 12r = 12(-48 + 4r) 72 + 12r = (-48 * 12 + 4r * 12) 72 + 12r = (-576 + 48r) Solving 72 + 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. 72 + 12r + -48r = -576 + 48r + -48r Combine like terms: 12r + -48r = -36r 72 + -36r = -576 + 48r + -48r Combine like terms: 48r + -48r = 0 72 + -36r = -576 + 0 72 + -36r = -576 Add '-72' to each side of the equation. 72 + -72 + -36r = -576 + -72 Combine like terms: 72 + -72 = 0 0 + -36r = -576 + -72 -36r = -576 + -72 Combine like terms: -576 + -72 = -648 -36r = -648 Divide each side by '-36'. r = 18 Simplifying r = 18
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