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Simplifying -1(3z + 4) = -6z + -3(3z + 2) Reorder the terms: -1(4 + 3z) = -6z + -3(3z + 2) (4 * -1 + 3z * -1) = -6z + -3(3z + 2) (-4 + -3z) = -6z + -3(3z + 2) Reorder the terms: -4 + -3z = -6z + -3(2 + 3z) -4 + -3z = -6z + (2 * -3 + 3z * -3) -4 + -3z = -6z + (-6 + -9z) Reorder the terms: -4 + -3z = -6 + -6z + -9z Combine like terms: -6z + -9z = -15z -4 + -3z = -6 + -15z Solving -4 + -3z = -6 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. -4 + -3z + 15z = -6 + -15z + 15z Combine like terms: -3z + 15z = 12z -4 + 12z = -6 + -15z + 15z Combine like terms: -15z + 15z = 0 -4 + 12z = -6 + 0 -4 + 12z = -6 Add '4' to each side of the equation. -4 + 4 + 12z = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 12z = -6 + 4 12z = -6 + 4 Combine like terms: -6 + 4 = -2 12z = -2 Divide each side by '12'. z = -0.1666666667 Simplifying z = -0.1666666667
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