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Simplifying 5(5j + 3) = 4(5j + -4) Reorder the terms: 5(3 + 5j) = 4(5j + -4) (3 * 5 + 5j * 5) = 4(5j + -4) (15 + 25j) = 4(5j + -4) Reorder the terms: 15 + 25j = 4(-4 + 5j) 15 + 25j = (-4 * 4 + 5j * 4) 15 + 25j = (-16 + 20j) Solving 15 + 25j = -16 + 20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20j' to each side of the equation. 15 + 25j + -20j = -16 + 20j + -20j Combine like terms: 25j + -20j = 5j 15 + 5j = -16 + 20j + -20j Combine like terms: 20j + -20j = 0 15 + 5j = -16 + 0 15 + 5j = -16 Add '-15' to each side of the equation. 15 + -15 + 5j = -16 + -15 Combine like terms: 15 + -15 = 0 0 + 5j = -16 + -15 5j = -16 + -15 Combine like terms: -16 + -15 = -31 5j = -31 Divide each side by '5'. j = -6.2 Simplifying j = -6.2
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