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Simplifying 5r + 5(8 + -5r) = 160 5r + (8 * 5 + -5r * 5) = 160 5r + (40 + -25r) = 160 Reorder the terms: 40 + 5r + -25r = 160 Combine like terms: 5r + -25r = -20r 40 + -20r = 160 Solving 40 + -20r = 160 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -20r = 160 + -40 Combine like terms: 40 + -40 = 0 0 + -20r = 160 + -40 -20r = 160 + -40 Combine like terms: 160 + -40 = 120 -20r = 120 Divide each side by '-20'. r = -6 Simplifying r = -6
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