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Simplifying 6(r + 3) = -2(r + -5) Reorder the terms: 6(3 + r) = -2(r + -5) (3 * 6 + r * 6) = -2(r + -5) (18 + 6r) = -2(r + -5) Reorder the terms: 18 + 6r = -2(-5 + r) 18 + 6r = (-5 * -2 + r * -2) 18 + 6r = (10 + -2r) Solving 18 + 6r = 10 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 18 + 6r + 2r = 10 + -2r + 2r Combine like terms: 6r + 2r = 8r 18 + 8r = 10 + -2r + 2r Combine like terms: -2r + 2r = 0 18 + 8r = 10 + 0 18 + 8r = 10 Add '-18' to each side of the equation. 18 + -18 + 8r = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 8r = 10 + -18 8r = 10 + -18 Combine like terms: 10 + -18 = -8 8r = -8 Divide each side by '8'. r = -1 Simplifying r = -1
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