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Simplifying 7n + -1(8n + -2) = -18 + 3n Reorder the terms: 7n + -1(-2 + 8n) = -18 + 3n 7n + (-2 * -1 + 8n * -1) = -18 + 3n 7n + (2 + -8n) = -18 + 3n Reorder the terms: 2 + 7n + -8n = -18 + 3n Combine like terms: 7n + -8n = -1n 2 + -1n = -18 + 3n Solving 2 + -1n = -18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + -1n + -3n = -18 + 3n + -3n Combine like terms: -1n + -3n = -4n 2 + -4n = -18 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + -4n = -18 + 0 2 + -4n = -18 Add '-2' to each side of the equation. 2 + -2 + -4n = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = -18 + -2 -4n = -18 + -2 Combine like terms: -18 + -2 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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