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Simplifying 3(2 + 2r) + 4(-2r + 2) = 2r + 3r (2 * 3 + 2r * 3) + 4(-2r + 2) = 2r + 3r (6 + 6r) + 4(-2r + 2) = 2r + 3r Reorder the terms: 6 + 6r + 4(2 + -2r) = 2r + 3r 6 + 6r + (2 * 4 + -2r * 4) = 2r + 3r 6 + 6r + (8 + -8r) = 2r + 3r Reorder the terms: 6 + 8 + 6r + -8r = 2r + 3r Combine like terms: 6 + 8 = 14 14 + 6r + -8r = 2r + 3r Combine like terms: 6r + -8r = -2r 14 + -2r = 2r + 3r Combine like terms: 2r + 3r = 5r 14 + -2r = 5r Solving 14 + -2r = 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 14 + -2r + -5r = 5r + -5r Combine like terms: -2r + -5r = -7r 14 + -7r = 5r + -5r Combine like terms: 5r + -5r = 0 14 + -7r = 0 Add '-14' to each side of the equation. 14 + -14 + -7r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7r = 0 + -14 -7r = 0 + -14 Combine like terms: 0 + -14 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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