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Simplifying -8(n + -7) + 3(3n + -3) = 41 Reorder the terms: -8(-7 + n) + 3(3n + -3) = 41 (-7 * -8 + n * -8) + 3(3n + -3) = 41 (56 + -8n) + 3(3n + -3) = 41 Reorder the terms: 56 + -8n + 3(-3 + 3n) = 41 56 + -8n + (-3 * 3 + 3n * 3) = 41 56 + -8n + (-9 + 9n) = 41 Reorder the terms: 56 + -9 + -8n + 9n = 41 Combine like terms: 56 + -9 = 47 47 + -8n + 9n = 41 Combine like terms: -8n + 9n = 1n 47 + 1n = 41 Solving 47 + 1n = 41 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 1n = 41 + -47 Combine like terms: 47 + -47 = 0 0 + 1n = 41 + -47 1n = 41 + -47 Combine like terms: 41 + -47 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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