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Simplifying 2(4r + -2r) = -2(r + 5) Combine like terms: 4r + -2r = 2r 2(2r) = -2(r + 5) Remove parenthesis around (2r) 2 * 2r = -2(r + 5) Multiply 2 * 2 4r = -2(r + 5) Reorder the terms: 4r = -2(5 + r) 4r = (5 * -2 + r * -2) 4r = (-10 + -2r) Solving 4r = -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. 4r + 2r = -10 + -2r + 2r Combine like terms: 4r + 2r = 6r 6r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 6r = -10 + 0 6r = -10 Divide each side by '6'. r = -1.666666667 Simplifying r = -1.666666667
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