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Simplifying 6(r + -4) = 2(r + -8) Reorder the terms: 6(-4 + r) = 2(r + -8) (-4 * 6 + r * 6) = 2(r + -8) (-24 + 6r) = 2(r + -8) Reorder the terms: -24 + 6r = 2(-8 + r) -24 + 6r = (-8 * 2 + r * 2) -24 + 6r = (-16 + 2r) Solving -24 + 6r = -16 + 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 = -16 + 2r + -2r Combine like terms: 6r + -2r = 4r -24 + 4r = -16 + 2r + -2r Combine like terms: 2r + -2r = 0 -24 + 4r = -16 + 0 -24 + 4r = -16 Add '24' to each side of the equation. -24 + 24 + 4r = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 4r = -16 + 24 4r = -16 + 24 Combine like terms: -16 + 24 = 8 4r = 8 Divide each side by '4'. r = 2 Simplifying r = 2
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