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Simplifying 3(n + -7) = 6 + 4n Reorder the terms: 3(-7 + n) = 6 + 4n (-7 * 3 + n * 3) = 6 + 4n (-21 + 3n) = 6 + 4n Solving -21 + 3n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -21 + 3n + -4n = 6 + 4n + -4n Combine like terms: 3n + -4n = -1n -21 + -1n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -21 + -1n = 6 + 0 -21 + -1n = 6 Add '21' to each side of the equation. -21 + 21 + -1n = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -1n = 6 + 21 -1n = 6 + 21 Combine like terms: 6 + 21 = 27 -1n = 27 Divide each side by '-1'. n = -27 Simplifying n = -27
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