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Simplifying 0.2n + 9 = 8(0.4 + -1) Reorder the terms: 9 + 0.2n = 8(0.4 + -1) Combine like terms: 0.4 + -1 = -0.6 9 + 0.2n = 8(-0.6) Multiply 8 * -0.6 9 + 0.2n = -4.8 Solving 9 + 0.2n = -4.8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 0.2n = -4.8 + -9 Combine like terms: 9 + -9 = 0 0 + 0.2n = -4.8 + -9 0.2n = -4.8 + -9 Combine like terms: -4.8 + -9 = -13.8 0.2n = -13.8 Divide each side by '0.2'. n = -69 Simplifying n = -69
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