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Simplifying -4 + 3n = 2 + -1(n + -6) Reorder the terms: -4 + 3n = 2 + -1(-6 + n) -4 + 3n = 2 + (-6 * -1 + n * -1) -4 + 3n = 2 + (6 + -1n) Combine like terms: 2 + 6 = 8 -4 + 3n = 8 + -1n Solving -4 + 3n = 8 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -4 + 3n + n = 8 + -1n + n Combine like terms: 3n + n = 4n -4 + 4n = 8 + -1n + n Combine like terms: -1n + n = 0 -4 + 4n = 8 + 0 -4 + 4n = 8 Add '4' to each side of the equation. -4 + 4 + 4n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 8 + 4 4n = 8 + 4 Combine like terms: 8 + 4 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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