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Simplifying 6 + 2(3j + -2) = 4(l + j) Reorder the terms: 6 + 2(-2 + 3j) = 4(l + j) 6 + (-2 * 2 + 3j * 2) = 4(l + j) 6 + (-4 + 6j) = 4(l + j) Combine like terms: 6 + -4 = 2 2 + 6j = 4(l + j) Reorder the terms: 2 + 6j = 4(j + l) 2 + 6j = (j * 4 + l * 4) 2 + 6j = (4j + 4l) Solving 2 + 6j = 4j + 4l 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. 2 + 6j + -4j = 4j + -4j + 4l Combine like terms: 6j + -4j = 2j 2 + 2j = 4j + -4j + 4l Combine like terms: 4j + -4j = 0 2 + 2j = 0 + 4l 2 + 2j = 4l Add '-2' to each side of the equation. 2 + -2 + 2j = -2 + 4l Combine like terms: 2 + -2 = 0 0 + 2j = -2 + 4l 2j = -2 + 4l Divide each side by '2'. j = -1 + 2l Simplifying j = -1 + 2l
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