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Simplifying 5(5r + 1) + 8(r + -2) = 55 Reorder the terms: 5(1 + 5r) + 8(r + -2) = 55 (1 * 5 + 5r * 5) + 8(r + -2) = 55 (5 + 25r) + 8(r + -2) = 55 Reorder the terms: 5 + 25r + 8(-2 + r) = 55 5 + 25r + (-2 * 8 + r * 8) = 55 5 + 25r + (-16 + 8r) = 55 Reorder the terms: 5 + -16 + 25r + 8r = 55 Combine like terms: 5 + -16 = -11 -11 + 25r + 8r = 55 Combine like terms: 25r + 8r = 33r -11 + 33r = 55 Solving -11 + 33r = 55 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 33r = 55 + 11 Combine like terms: -11 + 11 = 0 0 + 33r = 55 + 11 33r = 55 + 11 Combine like terms: 55 + 11 = 66 33r = 66 Divide each side by '33'. r = 2 Simplifying r = 2
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