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Simplifying 3.4(-3.8z + 1.2b + -3.3) = 0 Reorder the terms: 3.4(-3.3 + 1.2b + -3.8z) = 0 (-3.3 * 3.4 + 1.2b * 3.4 + -3.8z * 3.4) = 0 (-11.22 + 4.08b + -12.92z) = 0 Solving -11.22 + 4.08b + -12.92z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11.22' to each side of the equation. -11.22 + 4.08b + 11.22 + -12.92z = 0 + 11.22 Reorder the terms: -11.22 + 11.22 + 4.08b + -12.92z = 0 + 11.22 Combine like terms: -11.22 + 11.22 = 0.00 0.00 + 4.08b + -12.92z = 0 + 11.22 4.08b + -12.92z = 0 + 11.22 Combine like terms: 0 + 11.22 = 11.22 4.08b + -12.92z = 11.22 Add '12.92z' to each side of the equation. 4.08b + -12.92z + 12.92z = 11.22 + 12.92z Combine like terms: -12.92z + 12.92z = 0.00 4.08b + 0.00 = 11.22 + 12.92z 4.08b = 11.22 + 12.92z Divide each side by '4.08'. b = 2.75 + 3.166666667z Simplifying b = 2.75 + 3.166666667z
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