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