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Simplifying 2(2 + j) = 4(j + 10) (2 * 2 + j * 2) = 4(j + 10) (4 + 2j) = 4(j + 10) Reorder the terms: 4 + 2j = 4(10 + j) 4 + 2j = (10 * 4 + j * 4) 4 + 2j = (40 + 4j) Solving 4 + 2j = 40 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 4 + 2j + -4j = 40 + 4j + -4j Combine like terms: 2j + -4j = -2j 4 + -2j = 40 + 4j + -4j Combine like terms: 4j + -4j = 0 4 + -2j = 40 + 0 4 + -2j = 40 Add '-4' to each side of the equation. 4 + -4 + -2j = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -2j = 40 + -4 -2j = 40 + -4 Combine like terms: 40 + -4 = 36 -2j = 36 Divide each side by '-2'. j = -18 Simplifying j = -18
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