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Simplifying 3(6r + 6) = -1(3r + 3) Reorder the terms: 3(6 + 6r) = -1(3r + 3) (6 * 3 + 6r * 3) = -1(3r + 3) (18 + 18r) = -1(3r + 3) Reorder the terms: 18 + 18r = -1(3 + 3r) 18 + 18r = (3 * -1 + 3r * -1) 18 + 18r = (-3 + -3r) Solving 18 + 18r = -3 + -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 + 18r + 3r = -3 + -3r + 3r Combine like terms: 18r + 3r = 21r 18 + 21r = -3 + -3r + 3r Combine like terms: -3r + 3r = 0 18 + 21r = -3 + 0 18 + 21r = -3 Add '-18' to each side of the equation. 18 + -18 + 21r = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 21r = -3 + -18 21r = -3 + -18 Combine like terms: -3 + -18 = -21 21r = -21 Divide each side by '21'. r = -1 Simplifying r = -1
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