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Simplifying 3(2r + -4) = 20 + -2r Reorder the terms: 3(-4 + 2r) = 20 + -2r (-4 * 3 + 2r * 3) = 20 + -2r (-12 + 6r) = 20 + -2r Solving -12 + 6r = 20 + -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 = 20 + -2r + 2r Combine like terms: 6r + 2r = 8r -12 + 8r = 20 + -2r + 2r Combine like terms: -2r + 2r = 0 -12 + 8r = 20 + 0 -12 + 8r = 20 Add '12' to each side of the equation. -12 + 12 + 8r = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 8r = 20 + 12 8r = 20 + 12 Combine like terms: 20 + 12 = 32 8r = 32 Divide each side by '8'. r = 4 Simplifying r = 4
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