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Simplifying 54 = -7(n + -2) + -8(n + -5) Reorder the terms: 54 = -7(-2 + n) + -8(n + -5) 54 = (-2 * -7 + n * -7) + -8(n + -5) 54 = (14 + -7n) + -8(n + -5) Reorder the terms: 54 = 14 + -7n + -8(-5 + n) 54 = 14 + -7n + (-5 * -8 + n * -8) 54 = 14 + -7n + (40 + -8n) Reorder the terms: 54 = 14 + 40 + -7n + -8n Combine like terms: 14 + 40 = 54 54 = 54 + -7n + -8n Combine like terms: -7n + -8n = -15n 54 = 54 + -15n Add '-54' to each side of the equation. 54 + -54 = 54 + -54 + -15n Combine like terms: 54 + -54 = 0 0 = 54 + -54 + -15n Combine like terms: 54 + -54 = 0 0 = 0 + -15n 0 = -15n Solving 0 = -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. 0 + 15n = -15n + 15n Remove the zero: 15n = -15n + 15n Combine like terms: -15n + 15n = 0 15n = 0 Divide each side by '15'. n = 0 Simplifying n = 0
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