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Simplifying 6(n + -2) + -1(7 + -5n) = 10n Reorder the terms: 6(-2 + n) + -1(7 + -5n) = 10n (-2 * 6 + n * 6) + -1(7 + -5n) = 10n (-12 + 6n) + -1(7 + -5n) = 10n -12 + 6n + (7 * -1 + -5n * -1) = 10n -12 + 6n + (-7 + 5n) = 10n Reorder the terms: -12 + -7 + 6n + 5n = 10n Combine like terms: -12 + -7 = -19 -19 + 6n + 5n = 10n Combine like terms: 6n + 5n = 11n -19 + 11n = 10n Solving -19 + 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. -19 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -19 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -19 + 1n = 0 Add '19' to each side of the equation. -19 + 19 + 1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1n = 0 + 19 1n = 0 + 19 Combine like terms: 0 + 19 = 19 1n = 19 Divide each side by '1'. n = 19 Simplifying n = 19
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