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Simplifying 3(2r + -4) = 2r + 12 Reorder the terms: 3(-4 + 2r) = 2r + 12 (-4 * 3 + 2r * 3) = 2r + 12 (-12 + 6r) = 2r + 12 Reorder the terms: -12 + 6r = 12 + 2r Solving -12 + 6r = 12 + 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 = 12 + 2r + -2r Combine like terms: 6r + -2r = 4r -12 + 4r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 4r = 12 + 0 -12 + 4r = 12 Add '12' to each side of the equation. -12 + 12 + 4r = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4r = 12 + 12 4r = 12 + 12 Combine like terms: 12 + 12 = 24 4r = 24 Divide each side by '4'. r = 6 Simplifying r = 6
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