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Simplifying 7(r + -5) + 5(4r + 6) = 76 Reorder the terms: 7(-5 + r) + 5(4r + 6) = 76 (-5 * 7 + r * 7) + 5(4r + 6) = 76 (-35 + 7r) + 5(4r + 6) = 76 Reorder the terms: -35 + 7r + 5(6 + 4r) = 76 -35 + 7r + (6 * 5 + 4r * 5) = 76 -35 + 7r + (30 + 20r) = 76 Reorder the terms: -35 + 30 + 7r + 20r = 76 Combine like terms: -35 + 30 = -5 -5 + 7r + 20r = 76 Combine like terms: 7r + 20r = 27r -5 + 27r = 76 Solving -5 + 27r = 76 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 27r = 76 + 5 Combine like terms: -5 + 5 = 0 0 + 27r = 76 + 5 27r = 76 + 5 Combine like terms: 76 + 5 = 81 27r = 81 Divide each side by '27'. r = 3 Simplifying r = 3
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