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Simplifying n + 6 + 3n = -1 + 5n Reorder the terms: 6 + n + 3n = -1 + 5n Combine like terms: n + 3n = 4n 6 + 4n = -1 + 5n Solving 6 + 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. 6 + 4n + -5n = -1 + 5n + -5n Combine like terms: 4n + -5n = -1n 6 + -1n = -1 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -1n = -1 + 0 6 + -1n = -1 Add '-6' to each side of the equation. 6 + -6 + -1n = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = -1 + -6 -1n = -1 + -6 Combine like terms: -1 + -6 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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