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Simplifying 319 = 3n + -7(5 + -8n) 319 = 3n + (5 * -7 + -8n * -7) 319 = 3n + (-35 + 56n) Reorder the terms: 319 = -35 + 3n + 56n Combine like terms: 3n + 56n = 59n 319 = -35 + 59n Solving 319 = -35 + 59n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-59n' to each side of the equation. 319 + -59n = -35 + 59n + -59n Combine like terms: 59n + -59n = 0 319 + -59n = -35 + 0 319 + -59n = -35 Add '-319' to each side of the equation. 319 + -319 + -59n = -35 + -319 Combine like terms: 319 + -319 = 0 0 + -59n = -35 + -319 -59n = -35 + -319 Combine like terms: -35 + -319 = -354 -59n = -354 Divide each side by '-59'. n = 6 Simplifying n = 6
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