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Simplifying 6n + -7 + -2n + -14 = 5n + 1 Reorder the terms: -7 + -14 + 6n + -2n = 5n + 1 Combine like terms: -7 + -14 = -21 -21 + 6n + -2n = 5n + 1 Combine like terms: 6n + -2n = 4n -21 + 4n = 5n + 1 Reorder the terms: -21 + 4n = 1 + 5n Solving -21 + 4n = 1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -21 + 4n + -5n = 1 + 5n + -5n Combine like terms: 4n + -5n = -1n -21 + -1n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + -1n = 1 + 0 -21 + -1n = 1 Add '21' to each side of the equation. -21 + 21 + -1n = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -1n = 1 + 21 -1n = 1 + 21 Combine like terms: 1 + 21 = 22 -1n = 22 Divide each side by '-1'. n = -22 Simplifying n = -22
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