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Simplifying -1(5 + -6r) + 4(r + 2) = 53 (5 * -1 + -6r * -1) + 4(r + 2) = 53 (-5 + 6r) + 4(r + 2) = 53 Reorder the terms: -5 + 6r + 4(2 + r) = 53 -5 + 6r + (2 * 4 + r * 4) = 53 -5 + 6r + (8 + 4r) = 53 Reorder the terms: -5 + 8 + 6r + 4r = 53 Combine like terms: -5 + 8 = 3 3 + 6r + 4r = 53 Combine like terms: 6r + 4r = 10r 3 + 10r = 53 Solving 3 + 10r = 53 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10r = 53 + -3 Combine like terms: 3 + -3 = 0 0 + 10r = 53 + -3 10r = 53 + -3 Combine like terms: 53 + -3 = 50 10r = 50 Divide each side by '10'. r = 5 Simplifying r = 5
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