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Simplifying 5(8 + -5r) + 2 = 24 + -7r (8 * 5 + -5r * 5) + 2 = 24 + -7r (40 + -25r) + 2 = 24 + -7r Reorder the terms: 40 + 2 + -25r = 24 + -7r Combine like terms: 40 + 2 = 42 42 + -25r = 24 + -7r Solving 42 + -25r = 24 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 42 + -25r + 7r = 24 + -7r + 7r Combine like terms: -25r + 7r = -18r 42 + -18r = 24 + -7r + 7r Combine like terms: -7r + 7r = 0 42 + -18r = 24 + 0 42 + -18r = 24 Add '-42' to each side of the equation. 42 + -42 + -18r = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -18r = 24 + -42 -18r = 24 + -42 Combine like terms: 24 + -42 = -18 -18r = -18 Divide each side by '-18'. r = 1 Simplifying r = 1
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