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Simplifying 3(2j + -6) = 2(5j + -19) Reorder the terms: 3(-6 + 2j) = 2(5j + -19) (-6 * 3 + 2j * 3) = 2(5j + -19) (-18 + 6j) = 2(5j + -19) Reorder the terms: -18 + 6j = 2(-19 + 5j) -18 + 6j = (-19 * 2 + 5j * 2) -18 + 6j = (-38 + 10j) Solving -18 + 6j = -38 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. -18 + 6j + -10j = -38 + 10j + -10j Combine like terms: 6j + -10j = -4j -18 + -4j = -38 + 10j + -10j Combine like terms: 10j + -10j = 0 -18 + -4j = -38 + 0 -18 + -4j = -38 Add '18' to each side of the equation. -18 + 18 + -4j = -38 + 18 Combine like terms: -18 + 18 = 0 0 + -4j = -38 + 18 -4j = -38 + 18 Combine like terms: -38 + 18 = -20 -4j = -20 Divide each side by '-4'. j = 5 Simplifying j = 5
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