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Simplifying 4(n + -3) + -1(5 + -7n) = 10n Reorder the terms: 4(-3 + n) + -1(5 + -7n) = 10n (-3 * 4 + n * 4) + -1(5 + -7n) = 10n (-12 + 4n) + -1(5 + -7n) = 10n -12 + 4n + (5 * -1 + -7n * -1) = 10n -12 + 4n + (-5 + 7n) = 10n Reorder the terms: -12 + -5 + 4n + 7n = 10n Combine like terms: -12 + -5 = -17 -17 + 4n + 7n = 10n Combine like terms: 4n + 7n = 11n -17 + 11n = 10n Solving -17 + 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. -17 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -17 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -17 + 1n = 0 Add '17' to each side of the equation. -17 + 17 + 1n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1n = 0 + 17 1n = 0 + 17 Combine like terms: 0 + 17 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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