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Simplifying 6(2r + 3) + -9r = -3r Reorder the terms: 6(3 + 2r) + -9r = -3r (3 * 6 + 2r * 6) + -9r = -3r (18 + 12r) + -9r = -3r Combine like terms: 12r + -9r = 3r 18 + 3r = -3r Solving 18 + 3r = -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 + 3r + 3r = -3r + 3r Combine like terms: 3r + 3r = 6r 18 + 6r = -3r + 3r Combine like terms: -3r + 3r = 0 18 + 6r = 0 Add '-18' to each side of the equation. 18 + -18 + 6r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6r = 0 + -18 6r = 0 + -18 Combine like terms: 0 + -18 = -18 6r = -18 Divide each side by '6'. r = -3 Simplifying r = -3
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