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Simplifying 46 + -8n = -7(n + -6) Reorder the terms: 46 + -8n = -7(-6 + n) 46 + -8n = (-6 * -7 + n * -7) 46 + -8n = (42 + -7n) Solving 46 + -8n = 42 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 46 + -8n + 7n = 42 + -7n + 7n Combine like terms: -8n + 7n = -1n 46 + -1n = 42 + -7n + 7n Combine like terms: -7n + 7n = 0 46 + -1n = 42 + 0 46 + -1n = 42 Add '-46' to each side of the equation. 46 + -46 + -1n = 42 + -46 Combine like terms: 46 + -46 = 0 0 + -1n = 42 + -46 -1n = 42 + -46 Combine like terms: 42 + -46 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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