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Simplifying 2(3r + 5) = -5(-4 + -2r) + -6r Reorder the terms: 2(5 + 3r) = -5(-4 + -2r) + -6r (5 * 2 + 3r * 2) = -5(-4 + -2r) + -6r (10 + 6r) = -5(-4 + -2r) + -6r 10 + 6r = (-4 * -5 + -2r * -5) + -6r 10 + 6r = (20 + 10r) + -6r Combine like terms: 10r + -6r = 4r 10 + 6r = 20 + 4r Solving 10 + 6r = 20 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 10 + 6r + -4r = 20 + 4r + -4r Combine like terms: 6r + -4r = 2r 10 + 2r = 20 + 4r + -4r Combine like terms: 4r + -4r = 0 10 + 2r = 20 + 0 10 + 2r = 20 Add '-10' to each side of the equation. 10 + -10 + 2r = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2r = 20 + -10 2r = 20 + -10 Combine like terms: 20 + -10 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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