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Simplifying -7(n + -8) + -1(2 + 7n) = -15n Reorder the terms: -7(-8 + n) + -1(2 + 7n) = -15n (-8 * -7 + n * -7) + -1(2 + 7n) = -15n (56 + -7n) + -1(2 + 7n) = -15n 56 + -7n + (2 * -1 + 7n * -1) = -15n 56 + -7n + (-2 + -7n) = -15n Reorder the terms: 56 + -2 + -7n + -7n = -15n Combine like terms: 56 + -2 = 54 54 + -7n + -7n = -15n Combine like terms: -7n + -7n = -14n 54 + -14n = -15n Solving 54 + -14n = -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 54 + -14n + 15n = -15n + 15n Combine like terms: -14n + 15n = 1n 54 + 1n = -15n + 15n Combine like terms: -15n + 15n = 0 54 + 1n = 0 Add '-54' to each side of the equation. 54 + -54 + 1n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 1n = 0 + -54 1n = 0 + -54 Combine like terms: 0 + -54 = -54 1n = -54 Divide each side by '1'. n = -54 Simplifying n = -54
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