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Simplifying 6j + -9 + -2j = 2(j + -6) Reorder the terms: -9 + 6j + -2j = 2(j + -6) Combine like terms: 6j + -2j = 4j -9 + 4j = 2(j + -6) Reorder the terms: -9 + 4j = 2(-6 + j) -9 + 4j = (-6 * 2 + j * 2) -9 + 4j = (-12 + 2j) Solving -9 + 4j = -12 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -9 + 4j + -2j = -12 + 2j + -2j Combine like terms: 4j + -2j = 2j -9 + 2j = -12 + 2j + -2j Combine like terms: 2j + -2j = 0 -9 + 2j = -12 + 0 -9 + 2j = -12 Add '9' to each side of the equation. -9 + 9 + 2j = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 2j = -12 + 9 2j = -12 + 9 Combine like terms: -12 + 9 = -3 2j = -3 Divide each side by '2'. j = -1.5 Simplifying j = -1.5
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