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Simplifying 0.67(n + -6) = 5n + -43 Reorder the terms: 0.67(-6 + n) = 5n + -43 (-6 * 0.67 + n * 0.67) = 5n + -43 (-4.02 + 0.67n) = 5n + -43 Reorder the terms: -4.02 + 0.67n = -43 + 5n Solving -4.02 + 0.67n = -43 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -4.02 + 0.67n + -5n = -43 + 5n + -5n Combine like terms: 0.67n + -5n = -4.33n -4.02 + -4.33n = -43 + 5n + -5n Combine like terms: 5n + -5n = 0 -4.02 + -4.33n = -43 + 0 -4.02 + -4.33n = -43 Add '4.02' to each side of the equation. -4.02 + 4.02 + -4.33n = -43 + 4.02 Combine like terms: -4.02 + 4.02 = 0.00 0.00 + -4.33n = -43 + 4.02 -4.33n = -43 + 4.02 Combine like terms: -43 + 4.02 = -38.98 -4.33n = -38.98 Divide each side by '-4.33'. n = 9.002309469 Simplifying n = 9.002309469
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