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Simplifying -5(8n + 6) + 8(-3 + -1n) = -54 Reorder the terms: -5(6 + 8n) + 8(-3 + -1n) = -54 (6 * -5 + 8n * -5) + 8(-3 + -1n) = -54 (-30 + -40n) + 8(-3 + -1n) = -54 -30 + -40n + (-3 * 8 + -1n * 8) = -54 -30 + -40n + (-24 + -8n) = -54 Reorder the terms: -30 + -24 + -40n + -8n = -54 Combine like terms: -30 + -24 = -54 -54 + -40n + -8n = -54 Combine like terms: -40n + -8n = -48n -54 + -48n = -54 Add '54' to each side of the equation. -54 + 54 + -48n = -54 + 54 Combine like terms: -54 + 54 = 0 0 + -48n = -54 + 54 -48n = -54 + 54 Combine like terms: -54 + 54 = 0 -48n = 0 Solving -48n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-48'. n = 0 Simplifying n = 0
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