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Simplifying -5(40 + -7) = -6n + -35 Combine like terms: 40 + -7 = 33 -5(33) = -6n + -35 Multiply -5 * 33 -165 = -6n + -35 Reorder the terms: -165 = -35 + -6n Solving -165 = -35 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -165 + 6n = -35 + -6n + 6n Combine like terms: -6n + 6n = 0 -165 + 6n = -35 + 0 -165 + 6n = -35 Add '165' to each side of the equation. -165 + 165 + 6n = -35 + 165 Combine like terms: -165 + 165 = 0 0 + 6n = -35 + 165 6n = -35 + 165 Combine like terms: -35 + 165 = 130 6n = 130 Divide each side by '6'. n = 21.66666667 Simplifying n = 21.66666667
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