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Simplifying -5(8r + 4) = 100 Reorder the terms: -5(4 + 8r) = 100 (4 * -5 + 8r * -5) = 100 (-20 + -40r) = 100 Solving -20 + -40r = 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 + -40r = 100 + 20 Combine like terms: -20 + 20 = 0 0 + -40r = 100 + 20 -40r = 100 + 20 Combine like terms: 100 + 20 = 120 -40r = 120 Divide each side by '-40'. r = -3 Simplifying r = -3
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