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Simplifying 3(r + 2) + 12 + -5(r + -2) = 0 Reorder the terms: 3(2 + r) + 12 + -5(r + -2) = 0 (2 * 3 + r * 3) + 12 + -5(r + -2) = 0 (6 + 3r) + 12 + -5(r + -2) = 0 Reorder the terms: 6 + 3r + 12 + -5(-2 + r) = 0 6 + 3r + 12 + (-2 * -5 + r * -5) = 0 6 + 3r + 12 + (10 + -5r) = 0 Reorder the terms: 6 + 12 + 10 + 3r + -5r = 0 Combine like terms: 6 + 12 = 18 18 + 10 + 3r + -5r = 0 Combine like terms: 18 + 10 = 28 28 + 3r + -5r = 0 Combine like terms: 3r + -5r = -2r 28 + -2r = 0 Solving 28 + -2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -2r = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -2r = 0 + -28 -2r = 0 + -28 Combine like terms: 0 + -28 = -28 -2r = -28 Divide each side by '-2'. r = 14 Simplifying r = 14
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