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Simplifying 9(r + 2) = 3(r + -2) Reorder the terms: 9(2 + r) = 3(r + -2) (2 * 9 + r * 9) = 3(r + -2) (18 + 9r) = 3(r + -2) Reorder the terms: 18 + 9r = 3(-2 + r) 18 + 9r = (-2 * 3 + r * 3) 18 + 9r = (-6 + 3r) Solving 18 + 9r = -6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 18 + 9r + -3r = -6 + 3r + -3r Combine like terms: 9r + -3r = 6r 18 + 6r = -6 + 3r + -3r Combine like terms: 3r + -3r = 0 18 + 6r = -6 + 0 18 + 6r = -6 Add '-18' to each side of the equation. 18 + -18 + 6r = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6r = -6 + -18 6r = -6 + -18 Combine like terms: -6 + -18 = -24 6r = -24 Divide each side by '6'. r = -4 Simplifying r = -4
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