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Simplifying 9 = 2(r + 3) + 1 Reorder the terms: 9 = 2(3 + r) + 1 9 = (3 * 2 + r * 2) + 1 9 = (6 + 2r) + 1 Reorder the terms: 9 = 6 + 1 + 2r Combine like terms: 6 + 1 = 7 9 = 7 + 2r Solving 9 = 7 + 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. 9 + -2r = 7 + 2r + -2r Combine like terms: 2r + -2r = 0 9 + -2r = 7 + 0 9 + -2r = 7 Add '-9' to each side of the equation. 9 + -9 + -2r = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = 7 + -9 -2r = 7 + -9 Combine like terms: 7 + -9 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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