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Simplifying -5(-3 + 7n) + -8(-3n + 2) = 10 (-3 * -5 + 7n * -5) + -8(-3n + 2) = 10 (15 + -35n) + -8(-3n + 2) = 10 Reorder the terms: 15 + -35n + -8(2 + -3n) = 10 15 + -35n + (2 * -8 + -3n * -8) = 10 15 + -35n + (-16 + 24n) = 10 Reorder the terms: 15 + -16 + -35n + 24n = 10 Combine like terms: 15 + -16 = -1 -1 + -35n + 24n = 10 Combine like terms: -35n + 24n = -11n -1 + -11n = 10 Solving -1 + -11n = 10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -11n = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -11n = 10 + 1 -11n = 10 + 1 Combine like terms: 10 + 1 = 11 -11n = 11 Divide each side by '-11'. n = -1 Simplifying n = -1
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