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Simplifying 14 + 0.4(j + -10) = -0.2(25 + j) Reorder the terms: 14 + 0.4(-10 + j) = -0.2(25 + j) 14 + (-10 * 0.4 + j * 0.4) = -0.2(25 + j) 14 + (-4 + 0.4j) = -0.2(25 + j) Combine like terms: 14 + -4 = 10 10 + 0.4j = -0.2(25 + j) 10 + 0.4j = (25 * -0.2 + j * -0.2) 10 + 0.4j = (-5 + -0.2j) Solving 10 + 0.4j = -5 + -0.2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '0.2j' to each side of the equation. 10 + 0.4j + 0.2j = -5 + -0.2j + 0.2j Combine like terms: 0.4j + 0.2j = 0.6j 10 + 0.6j = -5 + -0.2j + 0.2j Combine like terms: -0.2j + 0.2j = 0.0 10 + 0.6j = -5 + 0.0 10 + 0.6j = -5 Add '-10' to each side of the equation. 10 + -10 + 0.6j = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 0.6j = -5 + -10 0.6j = -5 + -10 Combine like terms: -5 + -10 = -15 0.6j = -15 Divide each side by '0.6'. j = -25 Simplifying j = -25
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