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Simplifying 6(n + -1) + -3n = 22 + -1n Reorder the terms: 6(-1 + n) + -3n = 22 + -1n (-1 * 6 + n * 6) + -3n = 22 + -1n (-6 + 6n) + -3n = 22 + -1n Combine like terms: 6n + -3n = 3n -6 + 3n = 22 + -1n Solving -6 + 3n = 22 + -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. -6 + 3n + n = 22 + -1n + n Combine like terms: 3n + n = 4n -6 + 4n = 22 + -1n + n Combine like terms: -1n + n = 0 -6 + 4n = 22 + 0 -6 + 4n = 22 Add '6' to each side of the equation. -6 + 6 + 4n = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = 22 + 6 4n = 22 + 6 Combine like terms: 22 + 6 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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