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Simplifying -93 = 6n + -5(5n + -8) Reorder the terms: -93 = 6n + -5(-8 + 5n) -93 = 6n + (-8 * -5 + 5n * -5) -93 = 6n + (40 + -25n) Reorder the terms: -93 = 40 + 6n + -25n Combine like terms: 6n + -25n = -19n -93 = 40 + -19n Solving -93 = 40 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. -93 + 19n = 40 + -19n + 19n Combine like terms: -19n + 19n = 0 -93 + 19n = 40 + 0 -93 + 19n = 40 Add '93' to each side of the equation. -93 + 93 + 19n = 40 + 93 Combine like terms: -93 + 93 = 0 0 + 19n = 40 + 93 19n = 40 + 93 Combine like terms: 40 + 93 = 133 19n = 133 Divide each side by '19'. n = 7 Simplifying n = 7
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