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Simplifying -14 + -4n = -2 + 4(n + 1) Reorder the terms: -14 + -4n = -2 + 4(1 + n) -14 + -4n = -2 + (1 * 4 + n * 4) -14 + -4n = -2 + (4 + 4n) Combine like terms: -2 + 4 = 2 -14 + -4n = 2 + 4n Solving -14 + -4n = 2 + 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. -14 + -4n + -4n = 2 + 4n + -4n Combine like terms: -4n + -4n = -8n -14 + -8n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 -14 + -8n = 2 + 0 -14 + -8n = 2 Add '14' to each side of the equation. -14 + 14 + -8n = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -8n = 2 + 14 -8n = 2 + 14 Combine like terms: 2 + 14 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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