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Simplifying 8(-1 + 6n) = 8(n + 1) (-1 * 8 + 6n * 8) = 8(n + 1) (-8 + 48n) = 8(n + 1) Reorder the terms: -8 + 48n = 8(1 + n) -8 + 48n = (1 * 8 + n * 8) -8 + 48n = (8 + 8n) Solving -8 + 48n = 8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 48n + -8n = 8 + 8n + -8n Combine like terms: 48n + -8n = 40n -8 + 40n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 40n = 8 + 0 -8 + 40n = 8 Add '8' to each side of the equation. -8 + 8 + 40n = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 40n = 8 + 8 40n = 8 + 8 Combine like terms: 8 + 8 = 16 40n = 16 Divide each side by '40'. n = 0.4 Simplifying n = 0.4
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