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Simplifying 2(4n + -2) + -2 = 4n + -7 Reorder the terms: 2(-2 + 4n) + -2 = 4n + -7 (-2 * 2 + 4n * 2) + -2 = 4n + -7 (-4 + 8n) + -2 = 4n + -7 Reorder the terms: -4 + -2 + 8n = 4n + -7 Combine like terms: -4 + -2 = -6 -6 + 8n = 4n + -7 Reorder the terms: -6 + 8n = -7 + 4n Solving -6 + 8n = -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. -6 + 8n + -4n = -7 + 4n + -4n Combine like terms: 8n + -4n = 4n -6 + 4n = -7 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + 4n = -7 + 0 -6 + 4n = -7 Add '6' to each side of the equation. -6 + 6 + 4n = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = -7 + 6 4n = -7 + 6 Combine like terms: -7 + 6 = -1 4n = -1 Divide each side by '4'. n = -0.25 Simplifying n = -0.25
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