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Simplifying 2.5j + -15 = 4j + 15 Reorder the terms: -15 + 2.5j = 4j + 15 Reorder the terms: -15 + 2.5j = 15 + 4j Solving -15 + 2.5j = 15 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -15 + 2.5j + -4j = 15 + 4j + -4j Combine like terms: 2.5j + -4j = -1.5j -15 + -1.5j = 15 + 4j + -4j Combine like terms: 4j + -4j = 0 -15 + -1.5j = 15 + 0 -15 + -1.5j = 15 Add '15' to each side of the equation. -15 + 15 + -1.5j = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -1.5j = 15 + 15 -1.5j = 15 + 15 Combine like terms: 15 + 15 = 30 -1.5j = 30 Divide each side by '-1.5'. j = -20 Simplifying j = -20
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