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Simplifying 39 + -1n = 5n + -3(8 + 5n) 39 + -1n = 5n + (8 * -3 + 5n * -3) 39 + -1n = 5n + (-24 + -15n) Reorder the terms: 39 + -1n = -24 + 5n + -15n Combine like terms: 5n + -15n = -10n 39 + -1n = -24 + -10n Solving 39 + -1n = -24 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 39 + -1n + 10n = -24 + -10n + 10n Combine like terms: -1n + 10n = 9n 39 + 9n = -24 + -10n + 10n Combine like terms: -10n + 10n = 0 39 + 9n = -24 + 0 39 + 9n = -24 Add '-39' to each side of the equation. 39 + -39 + 9n = -24 + -39 Combine like terms: 39 + -39 = 0 0 + 9n = -24 + -39 9n = -24 + -39 Combine like terms: -24 + -39 = -63 9n = -63 Divide each side by '9'. n = -7 Simplifying n = -7
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