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Simplifying 6(n + -15) = 4n + 76 Reorder the terms: 6(-15 + n) = 4n + 76 (-15 * 6 + n * 6) = 4n + 76 (-90 + 6n) = 4n + 76 Reorder the terms: -90 + 6n = 76 + 4n Solving -90 + 6n = 76 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -90 + 6n + -4n = 76 + 4n + -4n Combine like terms: 6n + -4n = 2n -90 + 2n = 76 + 4n + -4n Combine like terms: 4n + -4n = 0 -90 + 2n = 76 + 0 -90 + 2n = 76 Add '90' to each side of the equation. -90 + 90 + 2n = 76 + 90 Combine like terms: -90 + 90 = 0 0 + 2n = 76 + 90 2n = 76 + 90 Combine like terms: 76 + 90 = 166 2n = 166 Divide each side by '2'. n = 83 Simplifying n = 83
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