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Simplifying -6(5 + -7n) + -8 = 298 (5 * -6 + -7n * -6) + -8 = 298 (-30 + 42n) + -8 = 298 Reorder the terms: -30 + -8 + 42n = 298 Combine like terms: -30 + -8 = -38 -38 + 42n = 298 Solving -38 + 42n = 298 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 42n = 298 + 38 Combine like terms: -38 + 38 = 0 0 + 42n = 298 + 38 42n = 298 + 38 Combine like terms: 298 + 38 = 336 42n = 336 Divide each side by '42'. n = 8 Simplifying n = 8
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