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Simplifying 7(n + -8) + -1(9 + -4n) = 10n Reorder the terms: 7(-8 + n) + -1(9 + -4n) = 10n (-8 * 7 + n * 7) + -1(9 + -4n) = 10n (-56 + 7n) + -1(9 + -4n) = 10n -56 + 7n + (9 * -1 + -4n * -1) = 10n -56 + 7n + (-9 + 4n) = 10n Reorder the terms: -56 + -9 + 7n + 4n = 10n Combine like terms: -56 + -9 = -65 -65 + 7n + 4n = 10n Combine like terms: 7n + 4n = 11n -65 + 11n = 10n Solving -65 + 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. -65 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -65 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -65 + 1n = 0 Add '65' to each side of the equation. -65 + 65 + 1n = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 1n = 0 + 65 1n = 0 + 65 Combine like terms: 0 + 65 = 65 1n = 65 Divide each side by '1'. n = 65 Simplifying n = 65
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