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Simplifying 40 + -3n = -2(7n + -1) + -8n Reorder the terms: 40 + -3n = -2(-1 + 7n) + -8n 40 + -3n = (-1 * -2 + 7n * -2) + -8n 40 + -3n = (2 + -14n) + -8n Combine like terms: -14n + -8n = -22n 40 + -3n = 2 + -22n Solving 40 + -3n = 2 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. 40 + -3n + 22n = 2 + -22n + 22n Combine like terms: -3n + 22n = 19n 40 + 19n = 2 + -22n + 22n Combine like terms: -22n + 22n = 0 40 + 19n = 2 + 0 40 + 19n = 2 Add '-40' to each side of the equation. 40 + -40 + 19n = 2 + -40 Combine like terms: 40 + -40 = 0 0 + 19n = 2 + -40 19n = 2 + -40 Combine like terms: 2 + -40 = -38 19n = -38 Divide each side by '19'. n = -2 Simplifying n = -2
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