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Simplifying 4(n + -6) + -1(5 + -7n) = 10n Reorder the terms: 4(-6 + n) + -1(5 + -7n) = 10n (-6 * 4 + n * 4) + -1(5 + -7n) = 10n (-24 + 4n) + -1(5 + -7n) = 10n -24 + 4n + (5 * -1 + -7n * -1) = 10n -24 + 4n + (-5 + 7n) = 10n Reorder the terms: -24 + -5 + 4n + 7n = 10n Combine like terms: -24 + -5 = -29 -29 + 4n + 7n = 10n Combine like terms: 4n + 7n = 11n -29 + 11n = 10n Solving -29 + 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. -29 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -29 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -29 + 1n = 0 Add '29' to each side of the equation. -29 + 29 + 1n = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1n = 0 + 29 1n = 0 + 29 Combine like terms: 0 + 29 = 29 1n = 29 Divide each side by '1'. n = 29 Simplifying n = 29
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