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Simplifying -165 = -5(7n + -8) + 5 Reorder the terms: -165 = -5(-8 + 7n) + 5 -165 = (-8 * -5 + 7n * -5) + 5 -165 = (40 + -35n) + 5 Reorder the terms: -165 = 40 + 5 + -35n Combine like terms: 40 + 5 = 45 -165 = 45 + -35n Solving -165 = 45 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -165 + 35n = 45 + -35n + 35n Combine like terms: -35n + 35n = 0 -165 + 35n = 45 + 0 -165 + 35n = 45 Add '165' to each side of the equation. -165 + 165 + 35n = 45 + 165 Combine like terms: -165 + 165 = 0 0 + 35n = 45 + 165 35n = 45 + 165 Combine like terms: 45 + 165 = 210 35n = 210 Divide each side by '35'. n = 6 Simplifying n = 6
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