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Simplifying 3(r + -2) + 8 = 2r + 20 Reorder the terms: 3(-2 + r) + 8 = 2r + 20 (-2 * 3 + r * 3) + 8 = 2r + 20 (-6 + 3r) + 8 = 2r + 20 Reorder the terms: -6 + 8 + 3r = 2r + 20 Combine like terms: -6 + 8 = 2 2 + 3r = 2r + 20 Reorder the terms: 2 + 3r = 20 + 2r Solving 2 + 3r = 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. 2 + 3r + -2r = 20 + 2r + -2r Combine like terms: 3r + -2r = 1r 2 + 1r = 20 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 1r = 20 + 0 2 + 1r = 20 Add '-2' to each side of the equation. 2 + -2 + 1r = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 1r = 20 + -2 1r = 20 + -2 Combine like terms: 20 + -2 = 18 1r = 18 Divide each side by '1'. r = 18 Simplifying r = 18
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