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Simplifying -8(-8 + n) + -6(7n + -3) = 54 (-8 * -8 + n * -8) + -6(7n + -3) = 54 (64 + -8n) + -6(7n + -3) = 54 Reorder the terms: 64 + -8n + -6(-3 + 7n) = 54 64 + -8n + (-3 * -6 + 7n * -6) = 54 64 + -8n + (18 + -42n) = 54 Reorder the terms: 64 + 18 + -8n + -42n = 54 Combine like terms: 64 + 18 = 82 82 + -8n + -42n = 54 Combine like terms: -8n + -42n = -50n 82 + -50n = 54 Solving 82 + -50n = 54 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + -50n = 54 + -82 Combine like terms: 82 + -82 = 0 0 + -50n = 54 + -82 -50n = 54 + -82 Combine like terms: 54 + -82 = -28 -50n = -28 Divide each side by '-50'. n = 0.56 Simplifying n = 0.56
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