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Simplifying 7(n + -6) + -1(5 + -4n) = 10n Reorder the terms: 7(-6 + n) + -1(5 + -4n) = 10n (-6 * 7 + n * 7) + -1(5 + -4n) = 10n (-42 + 7n) + -1(5 + -4n) = 10n -42 + 7n + (5 * -1 + -4n * -1) = 10n -42 + 7n + (-5 + 4n) = 10n Reorder the terms: -42 + -5 + 7n + 4n = 10n Combine like terms: -42 + -5 = -47 -47 + 7n + 4n = 10n Combine like terms: 7n + 4n = 11n -47 + 11n = 10n Solving -47 + 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. -47 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -47 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -47 + 1n = 0 Add '47' to each side of the equation. -47 + 47 + 1n = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 1n = 0 + 47 1n = 0 + 47 Combine like terms: 0 + 47 = 47 1n = 47 Divide each side by '1'. n = 47 Simplifying n = 47
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