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Simplifying 4(n + -2) + -1(6 + -7n) = 10n Reorder the terms: 4(-2 + n) + -1(6 + -7n) = 10n (-2 * 4 + n * 4) + -1(6 + -7n) = 10n (-8 + 4n) + -1(6 + -7n) = 10n -8 + 4n + (6 * -1 + -7n * -1) = 10n -8 + 4n + (-6 + 7n) = 10n Reorder the terms: -8 + -6 + 4n + 7n = 10n Combine like terms: -8 + -6 = -14 -14 + 4n + 7n = 10n Combine like terms: 4n + 7n = 11n -14 + 11n = 10n Solving -14 + 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. -14 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -14 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -14 + 1n = 0 Add '14' to each side of the equation. -14 + 14 + 1n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 0 + 14 1n = 0 + 14 Combine like terms: 0 + 14 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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