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Simplifying -1(6 + -3z) = 4(5z + 6) (6 * -1 + -3z * -1) = 4(5z + 6) (-6 + 3z) = 4(5z + 6) Reorder the terms: -6 + 3z = 4(6 + 5z) -6 + 3z = (6 * 4 + 5z * 4) -6 + 3z = (24 + 20z) Solving -6 + 3z = 24 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -6 + 3z + -20z = 24 + 20z + -20z Combine like terms: 3z + -20z = -17z -6 + -17z = 24 + 20z + -20z Combine like terms: 20z + -20z = 0 -6 + -17z = 24 + 0 -6 + -17z = 24 Add '6' to each side of the equation. -6 + 6 + -17z = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -17z = 24 + 6 -17z = 24 + 6 Combine like terms: 24 + 6 = 30 -17z = 30 Divide each side by '-17'. z = -1.764705882 Simplifying z = -1.764705882
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