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Simplifying 4j = 6(j + -9) Reorder the terms: 4j = 6(-9 + j) 4j = (-9 * 6 + j * 6) 4j = (-54 + 6j) Solving 4j = -54 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 4j + -6j = -54 + 6j + -6j Combine like terms: 4j + -6j = -2j -2j = -54 + 6j + -6j Combine like terms: 6j + -6j = 0 -2j = -54 + 0 -2j = -54 Divide each side by '-2'. j = 27 Simplifying j = 27
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