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Simplifying 7r + -1(6r + -5) + -7 = 50 Reorder the terms: 7r + -1(-5 + 6r) + -7 = 50 7r + (-5 * -1 + 6r * -1) + -7 = 50 7r + (5 + -6r) + -7 = 50 Reorder the terms: 5 + -7 + 7r + -6r = 50 Combine like terms: 5 + -7 = -2 -2 + 7r + -6r = 50 Combine like terms: 7r + -6r = 1r -2 + 1r = 50 Solving -2 + 1r = 50 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1r = 50 + 2 Combine like terms: -2 + 2 = 0 0 + 1r = 50 + 2 1r = 50 + 2 Combine like terms: 50 + 2 = 52 1r = 52 Divide each side by '1'. r = 52 Simplifying r = 52
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