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Simplifying 3(2r + 8) = 4r + -2(r + -4) Reorder the terms: 3(8 + 2r) = 4r + -2(r + -4) (8 * 3 + 2r * 3) = 4r + -2(r + -4) (24 + 6r) = 4r + -2(r + -4) Reorder the terms: 24 + 6r = 4r + -2(-4 + r) 24 + 6r = 4r + (-4 * -2 + r * -2) 24 + 6r = 4r + (8 + -2r) Reorder the terms: 24 + 6r = 8 + 4r + -2r Combine like terms: 4r + -2r = 2r 24 + 6r = 8 + 2r Solving 24 + 6r = 8 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 24 + 6r + -2r = 8 + 2r + -2r Combine like terms: 6r + -2r = 4r 24 + 4r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 24 + 4r = 8 + 0 24 + 4r = 8 Add '-24' to each side of the equation. 24 + -24 + 4r = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 4r = 8 + -24 4r = 8 + -24 Combine like terms: 8 + -24 = -16 4r = -16 Divide each side by '4'. r = -4 Simplifying r = -4
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