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Simplifying (3n + -7) + -1(4n + -15) = 6 Reorder the terms: (-7 + 3n) + -1(4n + -15) = 6 Remove parenthesis around (-7 + 3n) -7 + 3n + -1(4n + -15) = 6 Reorder the terms: -7 + 3n + -1(-15 + 4n) = 6 -7 + 3n + (-15 * -1 + 4n * -1) = 6 -7 + 3n + (15 + -4n) = 6 Reorder the terms: -7 + 15 + 3n + -4n = 6 Combine like terms: -7 + 15 = 8 8 + 3n + -4n = 6 Combine like terms: 3n + -4n = -1n 8 + -1n = 6 Solving 8 + -1n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 6 + -8 -1n = 6 + -8 Combine like terms: 6 + -8 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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