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Simplifying 9(r + 1) + -18 = 2r + 12 Reorder the terms: 9(1 + r) + -18 = 2r + 12 (1 * 9 + r * 9) + -18 = 2r + 12 (9 + 9r) + -18 = 2r + 12 Reorder the terms: 9 + -18 + 9r = 2r + 12 Combine like terms: 9 + -18 = -9 -9 + 9r = 2r + 12 Reorder the terms: -9 + 9r = 12 + 2r Solving -9 + 9r = 12 + 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 + 9r + -2r = 12 + 2r + -2r Combine like terms: 9r + -2r = 7r -9 + 7r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -9 + 7r = 12 + 0 -9 + 7r = 12 Add '9' to each side of the equation. -9 + 9 + 7r = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7r = 12 + 9 7r = 12 + 9 Combine like terms: 12 + 9 = 21 7r = 21 Divide each side by '7'. r = 3 Simplifying r = 3
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