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Simplifying 3(n + -7) = 11 + -1n Reorder the terms: 3(-7 + n) = 11 + -1n (-7 * 3 + n * 3) = 11 + -1n (-21 + 3n) = 11 + -1n Solving -21 + 3n = 11 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -21 + 3n + n = 11 + -1n + n Combine like terms: 3n + n = 4n -21 + 4n = 11 + -1n + n Combine like terms: -1n + n = 0 -21 + 4n = 11 + 0 -21 + 4n = 11 Add '21' to each side of the equation. -21 + 21 + 4n = 11 + 21 Combine like terms: -21 + 21 = 0 0 + 4n = 11 + 21 4n = 11 + 21 Combine like terms: 11 + 21 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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