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Simplifying 0.14 = 0.05 + (i + -0.05) * 1.8 Reorder the terms: 0.14 = 0.05 + (-0.05 + i) * 1.8 Reorder the terms for easier multiplication: 0.14 = 0.05 + 1.8(-0.05 + i) 0.14 = 0.05 + (-0.05 * 1.8 + i * 1.8) 0.14 = 0.05 + (-0.09 + 1.8i) Combine like terms: 0.05 + -0.09 = -0.04 0.14 = -0.04 + 1.8i Solving 0.14 = -0.04 + 1.8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1.8i' to each side of the equation. 0.14 + -1.8i = -0.04 + 1.8i + -1.8i Combine like terms: 1.8i + -1.8i = 0.0 0.14 + -1.8i = -0.04 + 0.0 0.14 + -1.8i = -0.04 Add '-0.14' to each side of the equation. 0.14 + -0.14 + -1.8i = -0.04 + -0.14 Combine like terms: 0.14 + -0.14 = 0.00 0.00 + -1.8i = -0.04 + -0.14 -1.8i = -0.04 + -0.14 Combine like terms: -0.04 + -0.14 = -0.18 -1.8i = -0.18 Divide each side by '-1.8'. i = 0.1 Simplifying i = 0.1
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