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Simplifying 7(n + -6) + -1(3 + -4n) = 10n Reorder the terms: 7(-6 + n) + -1(3 + -4n) = 10n (-6 * 7 + n * 7) + -1(3 + -4n) = 10n (-42 + 7n) + -1(3 + -4n) = 10n -42 + 7n + (3 * -1 + -4n * -1) = 10n -42 + 7n + (-3 + 4n) = 10n Reorder the terms: -42 + -3 + 7n + 4n = 10n Combine like terms: -42 + -3 = -45 -45 + 7n + 4n = 10n Combine like terms: 7n + 4n = 11n -45 + 11n = 10n Solving -45 + 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. -45 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -45 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -45 + 1n = 0 Add '45' to each side of the equation. -45 + 45 + 1n = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1n = 0 + 45 1n = 0 + 45 Combine like terms: 0 + 45 = 45 1n = 45 Divide each side by '1'. n = 45 Simplifying n = 45
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