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Simplifying 4(8r + -3) = -9(12 + -4r) Reorder the terms: 4(-3 + 8r) = -9(12 + -4r) (-3 * 4 + 8r * 4) = -9(12 + -4r) (-12 + 32r) = -9(12 + -4r) -12 + 32r = (12 * -9 + -4r * -9) -12 + 32r = (-108 + 36r) Solving -12 + 32r = -108 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. -12 + 32r + -36r = -108 + 36r + -36r Combine like terms: 32r + -36r = -4r -12 + -4r = -108 + 36r + -36r Combine like terms: 36r + -36r = 0 -12 + -4r = -108 + 0 -12 + -4r = -108 Add '12' to each side of the equation. -12 + 12 + -4r = -108 + 12 Combine like terms: -12 + 12 = 0 0 + -4r = -108 + 12 -4r = -108 + 12 Combine like terms: -108 + 12 = -96 -4r = -96 Divide each side by '-4'. r = 24 Simplifying r = 24
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