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Simplifying -2(5 + 4r) = -5(r + -1) (5 * -2 + 4r * -2) = -5(r + -1) (-10 + -8r) = -5(r + -1) Reorder the terms: -10 + -8r = -5(-1 + r) -10 + -8r = (-1 * -5 + r * -5) -10 + -8r = (5 + -5r) Solving -10 + -8r = 5 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -10 + -8r + 5r = 5 + -5r + 5r Combine like terms: -8r + 5r = -3r -10 + -3r = 5 + -5r + 5r Combine like terms: -5r + 5r = 0 -10 + -3r = 5 + 0 -10 + -3r = 5 Add '10' to each side of the equation. -10 + 10 + -3r = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -3r = 5 + 10 -3r = 5 + 10 Combine like terms: 5 + 10 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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