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Simplifying 5n + -12 = -8 + 6n + -2n Reorder the terms: -12 + 5n = -8 + 6n + -2n Combine like terms: 6n + -2n = 4n -12 + 5n = -8 + 4n Solving -12 + 5n = -8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -12 + 5n + -4n = -8 + 4n + -4n Combine like terms: 5n + -4n = 1n -12 + 1n = -8 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + 1n = -8 + 0 -12 + 1n = -8 Add '12' to each side of the equation. -12 + 12 + 1n = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = -8 + 12 1n = -8 + 12 Combine like terms: -8 + 12 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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