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Simplifying 4(2r + 5) = -2r + -10 Reorder the terms: 4(5 + 2r) = -2r + -10 (5 * 4 + 2r * 4) = -2r + -10 (20 + 8r) = -2r + -10 Reorder the terms: 20 + 8r = -10 + -2r Solving 20 + 8r = -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. 20 + 8r + 2r = -10 + -2r + 2r Combine like terms: 8r + 2r = 10r 20 + 10r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 20 + 10r = -10 + 0 20 + 10r = -10 Add '-20' to each side of the equation. 20 + -20 + 10r = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 10r = -10 + -20 10r = -10 + -20 Combine like terms: -10 + -20 = -30 10r = -30 Divide each side by '10'. r = -3 Simplifying r = -3
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