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Simplifying 7(r + 3) + 2(r + -2) = 0 Reorder the terms: 7(3 + r) + 2(r + -2) = 0 (3 * 7 + r * 7) + 2(r + -2) = 0 (21 + 7r) + 2(r + -2) = 0 Reorder the terms: 21 + 7r + 2(-2 + r) = 0 21 + 7r + (-2 * 2 + r * 2) = 0 21 + 7r + (-4 + 2r) = 0 Reorder the terms: 21 + -4 + 7r + 2r = 0 Combine like terms: 21 + -4 = 17 17 + 7r + 2r = 0 Combine like terms: 7r + 2r = 9r 17 + 9r = 0 Solving 17 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9r = 0 + -17 9r = 0 + -17 Combine like terms: 0 + -17 = -17 9r = -17 Divide each side by '9'. r = -1.888888889 Simplifying r = -1.888888889
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