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Simplifying 4(6n + 5) + 10 = -6(4n + 11) Reorder the terms: 4(5 + 6n) + 10 = -6(4n + 11) (5 * 4 + 6n * 4) + 10 = -6(4n + 11) (20 + 24n) + 10 = -6(4n + 11) Reorder the terms: 20 + 10 + 24n = -6(4n + 11) Combine like terms: 20 + 10 = 30 30 + 24n = -6(4n + 11) Reorder the terms: 30 + 24n = -6(11 + 4n) 30 + 24n = (11 * -6 + 4n * -6) 30 + 24n = (-66 + -24n) Solving 30 + 24n = -66 + -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 + 24n + 24n = -66 + -24n + 24n Combine like terms: 24n + 24n = 48n 30 + 48n = -66 + -24n + 24n Combine like terms: -24n + 24n = 0 30 + 48n = -66 + 0 30 + 48n = -66 Add '-30' to each side of the equation. 30 + -30 + 48n = -66 + -30 Combine like terms: 30 + -30 = 0 0 + 48n = -66 + -30 48n = -66 + -30 Combine like terms: -66 + -30 = -96 48n = -96 Divide each side by '48'. n = -2 Simplifying n = -2
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