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Simplifying 12 = 4(j + -5) Reorder the terms: 12 = 4(-5 + j) 12 = (-5 * 4 + j * 4) 12 = (-20 + 4j) Solving 12 = -20 + 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. 12 + -4j = -20 + 4j + -4j Combine like terms: 4j + -4j = 0 12 + -4j = -20 + 0 12 + -4j = -20 Add '-12' to each side of the equation. 12 + -12 + -4j = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -4j = -20 + -12 -4j = -20 + -12 Combine like terms: -20 + -12 = -32 -4j = -32 Divide each side by '-4'. j = 8 Simplifying j = 8
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