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Simplifying 14 + -1(j + -10) = (25 + j) Reorder the terms: 14 + -1(-10 + j) = (25 + j) 14 + (-10 * -1 + j * -1) = (25 + j) 14 + (10 + -1j) = (25 + j) Combine like terms: 14 + 10 = 24 24 + -1j = (25 + j) Remove parenthesis around (25 + j) 24 + -1j = 25 + j Solving 24 + -1j = 25 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 24 + -1j + -1j = 25 + j + -1j Combine like terms: -1j + -1j = -2j 24 + -2j = 25 + j + -1j Combine like terms: j + -1j = 0 24 + -2j = 25 + 0 24 + -2j = 25 Add '-24' to each side of the equation. 24 + -24 + -2j = 25 + -24 Combine like terms: 24 + -24 = 0 0 + -2j = 25 + -24 -2j = 25 + -24 Combine like terms: 25 + -24 = 1 -2j = 1 Divide each side by '-2'. j = -0.5 Simplifying j = -0.5
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