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Simplifying 340 = -6(-2 + -7n) + -8 340 = (-2 * -6 + -7n * -6) + -8 340 = (12 + 42n) + -8 Reorder the terms: 340 = 12 + -8 + 42n Combine like terms: 12 + -8 = 4 340 = 4 + 42n Solving 340 = 4 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 340 + -42n = 4 + 42n + -42n Combine like terms: 42n + -42n = 0 340 + -42n = 4 + 0 340 + -42n = 4 Add '-340' to each side of the equation. 340 + -340 + -42n = 4 + -340 Combine like terms: 340 + -340 = 0 0 + -42n = 4 + -340 -42n = 4 + -340 Combine like terms: 4 + -340 = -336 -42n = -336 Divide each side by '-42'. n = 8 Simplifying n = 8
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