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Simplifying 5(5n + -6) + -2(7n + -7) = -71 Reorder the terms: 5(-6 + 5n) + -2(7n + -7) = -71 (-6 * 5 + 5n * 5) + -2(7n + -7) = -71 (-30 + 25n) + -2(7n + -7) = -71 Reorder the terms: -30 + 25n + -2(-7 + 7n) = -71 -30 + 25n + (-7 * -2 + 7n * -2) = -71 -30 + 25n + (14 + -14n) = -71 Reorder the terms: -30 + 14 + 25n + -14n = -71 Combine like terms: -30 + 14 = -16 -16 + 25n + -14n = -71 Combine like terms: 25n + -14n = 11n -16 + 11n = -71 Solving -16 + 11n = -71 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11n = -71 + 16 Combine like terms: -16 + 16 = 0 0 + 11n = -71 + 16 11n = -71 + 16 Combine like terms: -71 + 16 = -55 11n = -55 Divide each side by '11'. n = -5 Simplifying n = -5
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