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Simplifying -5(r + -5) + 7(r + -1) = -78 Reorder the terms: -5(-5 + r) + 7(r + -1) = -78 (-5 * -5 + r * -5) + 7(r + -1) = -78 (25 + -5r) + 7(r + -1) = -78 Reorder the terms: 25 + -5r + 7(-1 + r) = -78 25 + -5r + (-1 * 7 + r * 7) = -78 25 + -5r + (-7 + 7r) = -78 Reorder the terms: 25 + -7 + -5r + 7r = -78 Combine like terms: 25 + -7 = 18 18 + -5r + 7r = -78 Combine like terms: -5r + 7r = 2r 18 + 2r = -78 Solving 18 + 2r = -78 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2r = -78 + -18 Combine like terms: 18 + -18 = 0 0 + 2r = -78 + -18 2r = -78 + -18 Combine like terms: -78 + -18 = -96 2r = -96 Divide each side by '2'. r = -48 Simplifying r = -48
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