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Simplifying 54 = -8(n + -6) + 7(-6n + 8) Reorder the terms: 54 = -8(-6 + n) + 7(-6n + 8) 54 = (-6 * -8 + n * -8) + 7(-6n + 8) 54 = (48 + -8n) + 7(-6n + 8) Reorder the terms: 54 = 48 + -8n + 7(8 + -6n) 54 = 48 + -8n + (8 * 7 + -6n * 7) 54 = 48 + -8n + (56 + -42n) Reorder the terms: 54 = 48 + 56 + -8n + -42n Combine like terms: 48 + 56 = 104 54 = 104 + -8n + -42n Combine like terms: -8n + -42n = -50n 54 = 104 + -50n Solving 54 = 104 + -50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '50n' to each side of the equation. 54 + 50n = 104 + -50n + 50n Combine like terms: -50n + 50n = 0 54 + 50n = 104 + 0 54 + 50n = 104 Add '-54' to each side of the equation. 54 + -54 + 50n = 104 + -54 Combine like terms: 54 + -54 = 0 0 + 50n = 104 + -54 50n = 104 + -54 Combine like terms: 104 + -54 = 50 50n = 50 Divide each side by '50'. n = 1 Simplifying n = 1
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