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Simplifying 2(-5 + -7j) + (3b + -2)(-3) = 0 (-5 * 2 + -7j * 2) + (3b + -2)(-3) = 0 (-10 + -14j) + (3b + -2)(-3) = 0 Reorder the terms: -10 + -14j + (-2 + 3b)(-3) = 0 Reorder the terms for easier multiplication: -10 + -14j + -3(-2 + 3b) = 0 -10 + -14j + (-2 * -3 + 3b * -3) = 0 -10 + -14j + (6 + -9b) = 0 Reorder the terms: -10 + 6 + -9b + -14j = 0 Combine like terms: -10 + 6 = -4 -4 + -9b + -14j = 0 Solving -4 + -9b + -14j = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -9b + 4 + -14j = 0 + 4 Reorder the terms: -4 + 4 + -9b + -14j = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9b + -14j = 0 + 4 -9b + -14j = 0 + 4 Combine like terms: 0 + 4 = 4 -9b + -14j = 4 Add '14j' to each side of the equation. -9b + -14j + 14j = 4 + 14j Combine like terms: -14j + 14j = 0 -9b + 0 = 4 + 14j -9b = 4 + 14j Divide each side by '-9'. b = -0.4444444444 + -1.555555556j Simplifying b = -0.4444444444 + -1.555555556j
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