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Simplifying -3(8n + -1) + -6n = 5n + -32 Reorder the terms: -3(-1 + 8n) + -6n = 5n + -32 (-1 * -3 + 8n * -3) + -6n = 5n + -32 (3 + -24n) + -6n = 5n + -32 Combine like terms: -24n + -6n = -30n 3 + -30n = 5n + -32 Reorder the terms: 3 + -30n = -32 + 5n Solving 3 + -30n = -32 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + -30n + -5n = -32 + 5n + -5n Combine like terms: -30n + -5n = -35n 3 + -35n = -32 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -35n = -32 + 0 3 + -35n = -32 Add '-3' to each side of the equation. 3 + -3 + -35n = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -35n = -32 + -3 -35n = -32 + -3 Combine like terms: -32 + -3 = -35 -35n = -35 Divide each side by '-35'. n = 1 Simplifying n = 1
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