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Simplifying -4(n + -3) = 6 + -3n Reorder the terms: -4(-3 + n) = 6 + -3n (-3 * -4 + n * -4) = 6 + -3n (12 + -4n) = 6 + -3n Solving 12 + -4n = 6 + -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. 12 + -4n + 3n = 6 + -3n + 3n Combine like terms: -4n + 3n = -1n 12 + -1n = 6 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + -1n = 6 + 0 12 + -1n = 6 Add '-12' to each side of the equation. 12 + -12 + -1n = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 6 + -12 -1n = 6 + -12 Combine like terms: 6 + -12 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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