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Simplifying -3(-10 + -3r) = -1(18 + -3r) (-10 * -3 + -3r * -3) = -1(18 + -3r) (30 + 9r) = -1(18 + -3r) 30 + 9r = (18 * -1 + -3r * -1) 30 + 9r = (-18 + 3r) Solving 30 + 9r = -18 + 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. 30 + 9r + -3r = -18 + 3r + -3r Combine like terms: 9r + -3r = 6r 30 + 6r = -18 + 3r + -3r Combine like terms: 3r + -3r = 0 30 + 6r = -18 + 0 30 + 6r = -18 Add '-30' to each side of the equation. 30 + -30 + 6r = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 6r = -18 + -30 6r = -18 + -30 Combine like terms: -18 + -30 = -48 6r = -48 Divide each side by '6'. r = -8 Simplifying r = -8
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