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Simplifying -30 + -5n = 8(1 + -3n) -30 + -5n = (1 * 8 + -3n * 8) -30 + -5n = (8 + -24n) Solving -30 + -5n = 8 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -30 + -5n + 24n = 8 + -24n + 24n Combine like terms: -5n + 24n = 19n -30 + 19n = 8 + -24n + 24n Combine like terms: -24n + 24n = 0 -30 + 19n = 8 + 0 -30 + 19n = 8 Add '30' to each side of the equation. -30 + 30 + 19n = 8 + 30 Combine like terms: -30 + 30 = 0 0 + 19n = 8 + 30 19n = 8 + 30 Combine like terms: 8 + 30 = 38 19n = 38 Divide each side by '19'. n = 2 Simplifying n = 2
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