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Simplifying 6 + 2(n + -6) = 4 + -3n Reorder the terms: 6 + 2(-6 + n) = 4 + -3n 6 + (-6 * 2 + n * 2) = 4 + -3n 6 + (-12 + 2n) = 4 + -3n Combine like terms: 6 + -12 = -6 -6 + 2n = 4 + -3n Solving -6 + 2n = 4 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -6 + 2n + 3n = 4 + -3n + 3n Combine like terms: 2n + 3n = 5n -6 + 5n = 4 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 + 5n = 4 + 0 -6 + 5n = 4 Add '6' to each side of the equation. -6 + 6 + 5n = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = 4 + 6 5n = 4 + 6 Combine like terms: 4 + 6 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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