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Simplifying 30 + 5n = 4 + -4(6n + 8) Reorder the terms: 30 + 5n = 4 + -4(8 + 6n) 30 + 5n = 4 + (8 * -4 + 6n * -4) 30 + 5n = 4 + (-32 + -24n) Combine like terms: 4 + -32 = -28 30 + 5n = -28 + -24n Solving 30 + 5n = -28 + -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 = -28 + -24n + 24n Combine like terms: 5n + 24n = 29n 30 + 29n = -28 + -24n + 24n Combine like terms: -24n + 24n = 0 30 + 29n = -28 + 0 30 + 29n = -28 Add '-30' to each side of the equation. 30 + -30 + 29n = -28 + -30 Combine like terms: 30 + -30 = 0 0 + 29n = -28 + -30 29n = -28 + -30 Combine like terms: -28 + -30 = -58 29n = -58 Divide each side by '29'. n = -2 Simplifying n = -2
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