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Simplifying 4[n + -1(10 + -1n)] = 6(n + 3) 4[n + (10 * -1 + -1n * -1)] = 6(n + 3) 4[n + (-10 + 1n)] = 6(n + 3) Reorder the terms: 4[-10 + n + 1n] = 6(n + 3) Combine like terms: n + 1n = 2n 4[-10 + 2n] = 6(n + 3) [-10 * 4 + 2n * 4] = 6(n + 3) [-40 + 8n] = 6(n + 3) Reorder the terms: -40 + 8n = 6(3 + n) -40 + 8n = (3 * 6 + n * 6) -40 + 8n = (18 + 6n) Solving -40 + 8n = 18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -40 + 8n + -6n = 18 + 6n + -6n Combine like terms: 8n + -6n = 2n -40 + 2n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -40 + 2n = 18 + 0 -40 + 2n = 18 Add '40' to each side of the equation. -40 + 40 + 2n = 18 + 40 Combine like terms: -40 + 40 = 0 0 + 2n = 18 + 40 2n = 18 + 40 Combine like terms: 18 + 40 = 58 2n = 58 Divide each side by '2'. n = 29 Simplifying n = 29
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