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Simplifying 7(8r + 5) + -5(r + -4) = 4 Reorder the terms: 7(5 + 8r) + -5(r + -4) = 4 (5 * 7 + 8r * 7) + -5(r + -4) = 4 (35 + 56r) + -5(r + -4) = 4 Reorder the terms: 35 + 56r + -5(-4 + r) = 4 35 + 56r + (-4 * -5 + r * -5) = 4 35 + 56r + (20 + -5r) = 4 Reorder the terms: 35 + 20 + 56r + -5r = 4 Combine like terms: 35 + 20 = 55 55 + 56r + -5r = 4 Combine like terms: 56r + -5r = 51r 55 + 51r = 4 Solving 55 + 51r = 4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 51r = 4 + -55 Combine like terms: 55 + -55 = 0 0 + 51r = 4 + -55 51r = 4 + -55 Combine like terms: 4 + -55 = -51 51r = -51 Divide each side by '51'. r = -1 Simplifying r = -1
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