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