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Simplifying -0.4(j + 8) + 3 = 1 Reorder the terms: -0.4(8 + j) + 3 = 1 (8 * -0.4 + j * -0.4) + 3 = 1 (-3.2 + -0.4j) + 3 = 1 Reorder the terms: -3.2 + 3 + -0.4j = 1 Combine like terms: -3.2 + 3 = -0.2 -0.2 + -0.4j = 1 Solving -0.2 + -0.4j = 1 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.4j = 1 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.4j = 1 + 0.2 -0.4j = 1 + 0.2 Combine like terms: 1 + 0.2 = 1.2 -0.4j = 1.2 Divide each side by '-0.4'. j = -3 Simplifying j = -3
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