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Simplifying -3n + -7 = -2n + -7(1 + -8n) Reorder the terms: -7 + -3n = -2n + -7(1 + -8n) -7 + -3n = -2n + (1 * -7 + -8n * -7) -7 + -3n = -2n + (-7 + 56n) Reorder the terms: -7 + -3n = -7 + -2n + 56n Combine like terms: -2n + 56n = 54n -7 + -3n = -7 + 54n Add '7' to each side of the equation. -7 + 7 + -3n = -7 + 7 + 54n Combine like terms: -7 + 7 = 0 0 + -3n = -7 + 7 + 54n -3n = -7 + 7 + 54n Combine like terms: -7 + 7 = 0 -3n = 0 + 54n -3n = 54n Solving -3n = 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. -3n + -54n = 54n + -54n Combine like terms: -3n + -54n = -57n -57n = 54n + -54n Combine like terms: 54n + -54n = 0 -57n = 0 Divide each side by '-57'. n = 0 Simplifying n = 0
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