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Simplifying -15 + 6n = -1(n + 7) + 5n Reorder the terms: -15 + 6n = -1(7 + n) + 5n -15 + 6n = (7 * -1 + n * -1) + 5n -15 + 6n = (-7 + -1n) + 5n Combine like terms: -1n + 5n = 4n -15 + 6n = -7 + 4n Solving -15 + 6n = -7 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -15 + 6n + -4n = -7 + 4n + -4n Combine like terms: 6n + -4n = 2n -15 + 2n = -7 + 4n + -4n Combine like terms: 4n + -4n = 0 -15 + 2n = -7 + 0 -15 + 2n = -7 Add '15' to each side of the equation. -15 + 15 + 2n = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 2n = -7 + 15 2n = -7 + 15 Combine like terms: -7 + 15 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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