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Simplifying 12 = 2(r + 7) Reorder the terms: 12 = 2(7 + r) 12 = (7 * 2 + r * 2) 12 = (14 + 2r) Solving 12 = 14 + 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 + -2r = 14 + 2r + -2r Combine like terms: 2r + -2r = 0 12 + -2r = 14 + 0 12 + -2r = 14 Add '-12' to each side of the equation. 12 + -12 + -2r = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -2r = 14 + -12 -2r = 14 + -12 Combine like terms: 14 + -12 = 2 -2r = 2 Divide each side by '-2'. r = -1 Simplifying r = -1
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