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Simplifying 6n + -14 = -49 + n Reorder the terms: -14 + 6n = -49 + n Solving -14 + 6n = -49 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -14 + 6n + -1n = -49 + n + -1n Combine like terms: 6n + -1n = 5n -14 + 5n = -49 + n + -1n Combine like terms: n + -1n = 0 -14 + 5n = -49 + 0 -14 + 5n = -49 Add '14' to each side of the equation. -14 + 14 + 5n = -49 + 14 Combine like terms: -14 + 14 = 0 0 + 5n = -49 + 14 5n = -49 + 14 Combine like terms: -49 + 14 = -35 5n = -35 Divide each side by '5'. n = -7 Simplifying n = -7
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