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Simplifying 2(j + -6) = 4(5j + 1) Reorder the terms: 2(-6 + j) = 4(5j + 1) (-6 * 2 + j * 2) = 4(5j + 1) (-12 + 2j) = 4(5j + 1) Reorder the terms: -12 + 2j = 4(1 + 5j) -12 + 2j = (1 * 4 + 5j * 4) -12 + 2j = (4 + 20j) Solving -12 + 2j = 4 + 20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20j' to each side of the equation. -12 + 2j + -20j = 4 + 20j + -20j Combine like terms: 2j + -20j = -18j -12 + -18j = 4 + 20j + -20j Combine like terms: 20j + -20j = 0 -12 + -18j = 4 + 0 -12 + -18j = 4 Add '12' to each side of the equation. -12 + 12 + -18j = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -18j = 4 + 12 -18j = 4 + 12 Combine like terms: 4 + 12 = 16 -18j = 16 Divide each side by '-18'. j = -0.8888888889 Simplifying j = -0.8888888889
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