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Simplifying 12j = 16(j + 8) Reorder the terms: 12j = 16(8 + j) 12j = (8 * 16 + j * 16) 12j = (128 + 16j) Solving 12j = 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. 12j + -16j = 128 + 16j + -16j Combine like terms: 12j + -16j = -4j -4j = 128 + 16j + -16j Combine like terms: 16j + -16j = 0 -4j = 128 + 0 -4j = 128 Divide each side by '-4'. j = -32 Simplifying j = -32
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