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Simplifying 6(r + -2) = 2r + 8 Reorder the terms: 6(-2 + r) = 2r + 8 (-2 * 6 + r * 6) = 2r + 8 (-12 + 6r) = 2r + 8 Reorder the terms: -12 + 6r = 8 + 2r Solving -12 + 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. -12 + 6r + -2r = 8 + 2r + -2r Combine like terms: 6r + -2r = 4r -12 + 4r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 4r = 8 + 0 -12 + 4r = 8 Add '12' to each side of the equation. -12 + 12 + 4r = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4r = 8 + 12 4r = 8 + 12 Combine like terms: 8 + 12 = 20 4r = 20 Divide each side by '4'. r = 5 Simplifying r = 5
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