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Simplifying 116 = -6n + 4(1 + -2n) 116 = -6n + (1 * 4 + -2n * 4) 116 = -6n + (4 + -8n) Reorder the terms: 116 = 4 + -6n + -8n Combine like terms: -6n + -8n = -14n 116 = 4 + -14n Solving 116 = 4 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 116 + 14n = 4 + -14n + 14n Combine like terms: -14n + 14n = 0 116 + 14n = 4 + 0 116 + 14n = 4 Add '-116' to each side of the equation. 116 + -116 + 14n = 4 + -116 Combine like terms: 116 + -116 = 0 0 + 14n = 4 + -116 14n = 4 + -116 Combine like terms: 4 + -116 = -112 14n = -112 Divide each side by '14'. n = -8 Simplifying n = -8
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