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Simplifying 6n + 7 + -3n + -14 = 4n + 8 Reorder the terms: 7 + -14 + 6n + -3n = 4n + 8 Combine like terms: 7 + -14 = -7 -7 + 6n + -3n = 4n + 8 Combine like terms: 6n + -3n = 3n -7 + 3n = 4n + 8 Reorder the terms: -7 + 3n = 8 + 4n Solving -7 + 3n = 8 + 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. -7 + 3n + -4n = 8 + 4n + -4n Combine like terms: 3n + -4n = -1n -7 + -1n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -7 + -1n = 8 + 0 -7 + -1n = 8 Add '7' to each side of the equation. -7 + 7 + -1n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 8 + 7 -1n = 8 + 7 Combine like terms: 8 + 7 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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