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Simplifying 4n + 2 = 6(0.3n + -0.67) Reorder the terms: 2 + 4n = 6(0.3n + -0.67) Reorder the terms: 2 + 4n = 6(-0.67 + 0.3n) 2 + 4n = (-0.67 * 6 + 0.3n * 6) 2 + 4n = (-4.02 + 1.8n) Solving 2 + 4n = -4.02 + 1.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.8n' to each side of the equation. 2 + 4n + -1.8n = -4.02 + 1.8n + -1.8n Combine like terms: 4n + -1.8n = 2.2n 2 + 2.2n = -4.02 + 1.8n + -1.8n Combine like terms: 1.8n + -1.8n = 0.0 2 + 2.2n = -4.02 + 0.0 2 + 2.2n = -4.02 Add '-2' to each side of the equation. 2 + -2 + 2.2n = -4.02 + -2 Combine like terms: 2 + -2 = 0 0 + 2.2n = -4.02 + -2 2.2n = -4.02 + -2 Combine like terms: -4.02 + -2 = -6.02 2.2n = -6.02 Divide each side by '2.2'. n = -2.736363636 Simplifying n = -2.736363636
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