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Simplifying -5(2r + -4) = 100 Reorder the terms: -5(-4 + 2r) = 100 (-4 * -5 + 2r * -5) = 100 (20 + -10r) = 100 Solving 20 + -10r = 100 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -10r = 100 + -20 Combine like terms: 20 + -20 = 0 0 + -10r = 100 + -20 -10r = 100 + -20 Combine like terms: 100 + -20 = 80 -10r = 80 Divide each side by '-10'. r = -8 Simplifying r = -8
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