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Simplifying n + 5.9n + -0.3 = 6.8(n + -6) Reorder the terms: -0.3 + n + 5.9n = 6.8(n + -6) Combine like terms: n + 5.9n = 6.9n -0.3 + 6.9n = 6.8(n + -6) Reorder the terms: -0.3 + 6.9n = 6.8(-6 + n) -0.3 + 6.9n = (-6 * 6.8 + n * 6.8) -0.3 + 6.9n = (-40.8 + 6.8n) Solving -0.3 + 6.9n = -40.8 + 6.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.8n' to each side of the equation. -0.3 + 6.9n + -6.8n = -40.8 + 6.8n + -6.8n Combine like terms: 6.9n + -6.8n = 0.1n -0.3 + 0.1n = -40.8 + 6.8n + -6.8n Combine like terms: 6.8n + -6.8n = 0.0 -0.3 + 0.1n = -40.8 + 0.0 -0.3 + 0.1n = -40.8 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.1n = -40.8 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.1n = -40.8 + 0.3 0.1n = -40.8 + 0.3 Combine like terms: -40.8 + 0.3 = -40.5 0.1n = -40.5 Divide each side by '0.1'. n = -405 Simplifying n = -405
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