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Simplifying -46 = -4 + 3(4n + -2) Reorder the terms: -46 = -4 + 3(-2 + 4n) -46 = -4 + (-2 * 3 + 4n * 3) -46 = -4 + (-6 + 12n) Combine like terms: -4 + -6 = -10 -46 = -10 + 12n Solving -46 = -10 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -46 + -12n = -10 + 12n + -12n Combine like terms: 12n + -12n = 0 -46 + -12n = -10 + 0 -46 + -12n = -10 Add '46' to each side of the equation. -46 + 46 + -12n = -10 + 46 Combine like terms: -46 + 46 = 0 0 + -12n = -10 + 46 -12n = -10 + 46 Combine like terms: -10 + 46 = 36 -12n = 36 Divide each side by '-12'. n = -3 Simplifying n = -3
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