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Simplifying 6n + y + -2n + -14 = 5n + 1 Reorder the terms: -14 + 6n + -2n + y = 5n + 1 Combine like terms: 6n + -2n = 4n -14 + 4n + y = 5n + 1 Reorder the terms: -14 + 4n + y = 1 + 5n Solving -14 + 4n + y = 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. -14 + 4n + -5n + y = 1 + 5n + -5n Combine like terms: 4n + -5n = -1n -14 + -1n + y = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + -1n + y = 1 + 0 -14 + -1n + y = 1 Add '14' to each side of the equation. -14 + -1n + 14 + y = 1 + 14 Reorder the terms: -14 + 14 + -1n + y = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -1n + y = 1 + 14 -1n + y = 1 + 14 Combine like terms: 1 + 14 = 15 -1n + y = 15 Add '-1y' to each side of the equation. -1n + y + -1y = 15 + -1y Combine like terms: y + -1y = 0 -1n + 0 = 15 + -1y -1n = 15 + -1y Divide each side by '-1'. n = -15 + y Simplifying n = -15 + y
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