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