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Simplifying -4n + 2 = 3 + -3n + -7 + 12 Reorder the terms: 2 + -4n = 3 + -3n + -7 + 12 Reorder the terms: 2 + -4n = 3 + -7 + 12 + -3n Combine like terms: 3 + -7 = -4 2 + -4n = -4 + 12 + -3n Combine like terms: -4 + 12 = 8 2 + -4n = 8 + -3n Solving 2 + -4n = 8 + -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. 2 + -4n + 3n = 8 + -3n + 3n Combine like terms: -4n + 3n = -1n 2 + -1n = 8 + -3n + 3n Combine like terms: -3n + 3n = 0 2 + -1n = 8 + 0 2 + -1n = 8 Add '-2' to each side of the equation. 2 + -2 + -1n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 8 + -2 -1n = 8 + -2 Combine like terms: 8 + -2 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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