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Simplifying 7(1 + -5n) + 3 = 290 (1 * 7 + -5n * 7) + 3 = 290 (7 + -35n) + 3 = 290 Reorder the terms: 7 + 3 + -35n = 290 Combine like terms: 7 + 3 = 10 10 + -35n = 290 Solving 10 + -35n = 290 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -35n = 290 + -10 Combine like terms: 10 + -10 = 0 0 + -35n = 290 + -10 -35n = 290 + -10 Combine like terms: 290 + -10 = 280 -35n = 280 Divide each side by '-35'. n = -8 Simplifying n = -8
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