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