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Simplifying 4(n + -6) + -1(3 + -7n) = 10n Reorder the terms: 4(-6 + n) + -1(3 + -7n) = 10n (-6 * 4 + n * 4) + -1(3 + -7n) = 10n (-24 + 4n) + -1(3 + -7n) = 10n -24 + 4n + (3 * -1 + -7n * -1) = 10n -24 + 4n + (-3 + 7n) = 10n Reorder the terms: -24 + -3 + 4n + 7n = 10n Combine like terms: -24 + -3 = -27 -27 + 4n + 7n = 10n Combine like terms: 4n + 7n = 11n -27 + 11n = 10n Solving -27 + 11n = 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. -27 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -27 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -27 + 1n = 0 Add '27' to each side of the equation. -27 + 27 + 1n = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1n = 0 + 27 1n = 0 + 27 Combine like terms: 0 + 27 = 27 1n = 27 Divide each side by '1'. n = 27 Simplifying n = 27
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