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Simplifying 6(r + -4) = 2(r + -8) + 3r Reorder the terms: 6(-4 + r) = 2(r + -8) + 3r (-4 * 6 + r * 6) = 2(r + -8) + 3r (-24 + 6r) = 2(r + -8) + 3r Reorder the terms: -24 + 6r = 2(-8 + r) + 3r -24 + 6r = (-8 * 2 + r * 2) + 3r -24 + 6r = (-16 + 2r) + 3r Combine like terms: 2r + 3r = 5r -24 + 6r = -16 + 5r Solving -24 + 6r = -16 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -24 + 6r + -5r = -16 + 5r + -5r Combine like terms: 6r + -5r = 1r -24 + 1r = -16 + 5r + -5r Combine like terms: 5r + -5r = 0 -24 + 1r = -16 + 0 -24 + 1r = -16 Add '24' to each side of the equation. -24 + 24 + 1r = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 1r = -16 + 24 1r = -16 + 24 Combine like terms: -16 + 24 = 8 1r = 8 Divide each side by '1'. r = 8 Simplifying r = 8
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