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Simplifying 5(r + 2) = 7r + 12 Reorder the terms: 5(2 + r) = 7r + 12 (2 * 5 + r * 5) = 7r + 12 (10 + 5r) = 7r + 12 Reorder the terms: 10 + 5r = 12 + 7r Solving 10 + 5r = 12 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 10 + 5r + -7r = 12 + 7r + -7r Combine like terms: 5r + -7r = -2r 10 + -2r = 12 + 7r + -7r Combine like terms: 7r + -7r = 0 10 + -2r = 12 + 0 10 + -2r = 12 Add '-10' to each side of the equation. 10 + -10 + -2r = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = 12 + -10 -2r = 12 + -10 Combine like terms: 12 + -10 = 2 -2r = 2 Divide each side by '-2'. r = -1 Simplifying r = -1
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