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Simplifying -7(2b + -4) = 2(3j + -6) Reorder the terms: -7(-4 + 2b) = 2(3j + -6) (-4 * -7 + 2b * -7) = 2(3j + -6) (28 + -14b) = 2(3j + -6) Reorder the terms: 28 + -14b = 2(-6 + 3j) 28 + -14b = (-6 * 2 + 3j * 2) 28 + -14b = (-12 + 6j) Solving 28 + -14b = -12 + 6j Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -14b = -12 + -28 + 6j Combine like terms: 28 + -28 = 0 0 + -14b = -12 + -28 + 6j -14b = -12 + -28 + 6j Combine like terms: -12 + -28 = -40 -14b = -40 + 6j Divide each side by '-14'. b = 2.857142857 + -0.4285714286j Simplifying b = 2.857142857 + -0.4285714286j
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