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Simplifying -30 + 5n = 4 + 4(1 + 6n) -30 + 5n = 4 + (1 * 4 + 6n * 4) -30 + 5n = 4 + (4 + 24n) Combine like terms: 4 + 4 = 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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