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Simplifying 0.8(n + -0.16) = -0.1(n + 0.4) Reorder the terms: 0.8(-0.16 + n) = -0.1(n + 0.4) (-0.16 * 0.8 + n * 0.8) = -0.1(n + 0.4) (-0.128 + 0.8n) = -0.1(n + 0.4) Reorder the terms: -0.128 + 0.8n = -0.1(0.4 + n) -0.128 + 0.8n = (0.4 * -0.1 + n * -0.1) -0.128 + 0.8n = (-0.04 + -0.1n) Solving -0.128 + 0.8n = -0.04 + -0.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.1n' to each side of the equation. -0.128 + 0.8n + 0.1n = -0.04 + -0.1n + 0.1n Combine like terms: 0.8n + 0.1n = 0.9n -0.128 + 0.9n = -0.04 + -0.1n + 0.1n Combine like terms: -0.1n + 0.1n = 0.0 -0.128 + 0.9n = -0.04 + 0.0 -0.128 + 0.9n = -0.04 Add '0.128' to each side of the equation. -0.128 + 0.128 + 0.9n = -0.04 + 0.128 Combine like terms: -0.128 + 0.128 = 0.000 0.000 + 0.9n = -0.04 + 0.128 0.9n = -0.04 + 0.128 Combine like terms: -0.04 + 0.128 = 0.088 0.9n = 0.088 Divide each side by '0.9'. n = 0.09777777778 Simplifying n = 0.09777777778
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