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