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Simplifying 46 + -9n = -1(n + 2) Reorder the terms: 46 + -9n = -1(2 + n) 46 + -9n = (2 * -1 + n * -1) 46 + -9n = (-2 + -1n) Solving 46 + -9n = -2 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 46 + -9n + n = -2 + -1n + n Combine like terms: -9n + n = -8n 46 + -8n = -2 + -1n + n Combine like terms: -1n + n = 0 46 + -8n = -2 + 0 46 + -8n = -2 Add '-46' to each side of the equation. 46 + -46 + -8n = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -8n = -2 + -46 -8n = -2 + -46 Combine like terms: -2 + -46 = -48 -8n = -48 Divide each side by '-8'. n = 6 Simplifying n = 6
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