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Simplifying n + -8(N + -5) = 46 + -7n Reorder the terms: n + -8(-5 + N) = 46 + -7n n + (-5 * -8 + N * -8) = 46 + -7n n + (40 + -8N) = 46 + -7n Reorder the terms: 40 + -8N + n = 46 + -7n Solving 40 + -8N + n = 46 + -7n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -8N + -40 + n = 46 + -40 + -7n Reorder the terms: 40 + -40 + -8N + n = 46 + -40 + -7n Combine like terms: 40 + -40 = 0 0 + -8N + n = 46 + -40 + -7n -8N + n = 46 + -40 + -7n Combine like terms: 46 + -40 = 6 -8N + n = 6 + -7n Add '-1n' to each side of the equation. -8N + n + -1n = 6 + -7n + -1n Combine like terms: n + -1n = 0 -8N + 0 = 6 + -7n + -1n -8N = 6 + -7n + -1n Combine like terms: -7n + -1n = -8n -8N = 6 + -8n Divide each side by '-8'. N = -0.75 + n Simplifying N = -0.75 + n
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