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Simplifying 7(n + -5) + -1(3 + -4n) = 10n Reorder the terms: 7(-5 + n) + -1(3 + -4n) = 10n (-5 * 7 + n * 7) + -1(3 + -4n) = 10n (-35 + 7n) + -1(3 + -4n) = 10n -35 + 7n + (3 * -1 + -4n * -1) = 10n -35 + 7n + (-3 + 4n) = 10n Reorder the terms: -35 + -3 + 7n + 4n = 10n Combine like terms: -35 + -3 = -38 -38 + 7n + 4n = 10n Combine like terms: 7n + 4n = 11n -38 + 11n = 10n Solving -38 + 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. -38 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -38 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -38 + 1n = 0 Add '38' to each side of the equation. -38 + 38 + 1n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1n = 0 + 38 1n = 0 + 38 Combine like terms: 0 + 38 = 38 1n = 38 Divide each side by '1'. n = 38 Simplifying n = 38
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