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Simplifying -4(j + 2) = 5(j + -3) Reorder the terms: -4(2 + j) = 5(j + -3) (2 * -4 + j * -4) = 5(j + -3) (-8 + -4j) = 5(j + -3) Reorder the terms: -8 + -4j = 5(-3 + j) -8 + -4j = (-3 * 5 + j * 5) -8 + -4j = (-15 + 5j) Solving -8 + -4j = -15 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. -8 + -4j + -5j = -15 + 5j + -5j Combine like terms: -4j + -5j = -9j -8 + -9j = -15 + 5j + -5j Combine like terms: 5j + -5j = 0 -8 + -9j = -15 + 0 -8 + -9j = -15 Add '8' to each side of the equation. -8 + 8 + -9j = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -9j = -15 + 8 -9j = -15 + 8 Combine like terms: -15 + 8 = -7 -9j = -7 Divide each side by '-9'. j = 0.7777777778 Simplifying j = 0.7777777778
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