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Simplifying 12j + -16(j + -8) = 0 Reorder the terms: 12j + -16(-8 + j) = 0 12j + (-8 * -16 + j * -16) = 0 12j + (128 + -16j) = 0 Reorder the terms: 128 + 12j + -16j = 0 Combine like terms: 12j + -16j = -4j 128 + -4j = 0 Solving 128 + -4j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -128 + -4j = 0 + -128 Combine like terms: 128 + -128 = 0 0 + -4j = 0 + -128 -4j = 0 + -128 Combine like terms: 0 + -128 = -128 -4j = -128 Divide each side by '-4'. j = 32 Simplifying j = 32
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