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Simplifying -16 + 5n = 42 + 56n + 3 Reorder the terms: -16 + 5n = 42 + 3 + 56n Combine like terms: 42 + 3 = 45 -16 + 5n = 45 + 56n Solving -16 + 5n = 45 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -16 + 5n + -56n = 45 + 56n + -56n Combine like terms: 5n + -56n = -51n -16 + -51n = 45 + 56n + -56n Combine like terms: 56n + -56n = 0 -16 + -51n = 45 + 0 -16 + -51n = 45 Add '16' to each side of the equation. -16 + 16 + -51n = 45 + 16 Combine like terms: -16 + 16 = 0 0 + -51n = 45 + 16 -51n = 45 + 16 Combine like terms: 45 + 16 = 61 -51n = 61 Divide each side by '-51'. n = -1.196078431 Simplifying n = -1.196078431
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