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Simplifying 6(n + -3) + -1(4 + -5n) = 10n Reorder the terms: 6(-3 + n) + -1(4 + -5n) = 10n (-3 * 6 + n * 6) + -1(4 + -5n) = 10n (-18 + 6n) + -1(4 + -5n) = 10n -18 + 6n + (4 * -1 + -5n * -1) = 10n -18 + 6n + (-4 + 5n) = 10n Reorder the terms: -18 + -4 + 6n + 5n = 10n Combine like terms: -18 + -4 = -22 -22 + 6n + 5n = 10n Combine like terms: 6n + 5n = 11n -22 + 11n = 10n Solving -22 + 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. -22 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -22 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -22 + 1n = 0 Add '22' to each side of the equation. -22 + 22 + 1n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1n = 0 + 22 1n = 0 + 22 Combine like terms: 0 + 22 = 22 1n = 22 Divide each side by '1'. n = 22 Simplifying n = 22
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