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Simplifying 12j + -44 = 8(2j + -9) Reorder the terms: -44 + 12j = 8(2j + -9) Reorder the terms: -44 + 12j = 8(-9 + 2j) -44 + 12j = (-9 * 8 + 2j * 8) -44 + 12j = (-72 + 16j) Solving -44 + 12j = -72 + 16j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16j' to each side of the equation. -44 + 12j + -16j = -72 + 16j + -16j Combine like terms: 12j + -16j = -4j -44 + -4j = -72 + 16j + -16j Combine like terms: 16j + -16j = 0 -44 + -4j = -72 + 0 -44 + -4j = -72 Add '44' to each side of the equation. -44 + 44 + -4j = -72 + 44 Combine like terms: -44 + 44 = 0 0 + -4j = -72 + 44 -4j = -72 + 44 Combine like terms: -72 + 44 = -28 -4j = -28 Divide each side by '-4'. j = 7 Simplifying j = 7
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