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Simplifying 12 = 16(j + -8) Reorder the terms: 12 = 16(-8 + j) 12 = (-8 * 16 + j * 16) 12 = (-128 + 16j) Solving 12 = -128 + 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. 12 + -16j = -128 + 16j + -16j Combine like terms: 16j + -16j = 0 12 + -16j = -128 + 0 12 + -16j = -128 Add '-12' to each side of the equation. 12 + -12 + -16j = -128 + -12 Combine like terms: 12 + -12 = 0 0 + -16j = -128 + -12 -16j = -128 + -12 Combine like terms: -128 + -12 = -140 -16j = -140 Divide each side by '-16'. j = 8.75 Simplifying j = 8.75
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