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Simplifying -1(3z + 4) = 6z + -3(3z + 2z) Reorder the terms: -1(4 + 3z) = 6z + -3(3z + 2z) (4 * -1 + 3z * -1) = 6z + -3(3z + 2z) (-4 + -3z) = 6z + -3(3z + 2z) Combine like terms: 3z + 2z = 5z -4 + -3z = 6z + -3(5z) Remove parenthesis around (5z) -4 + -3z = 6z + -3 * 5z Multiply -3 * 5 -4 + -3z = 6z + -15z Combine like terms: 6z + -15z = -9z -4 + -3z = -9z Solving -4 + -3z = -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -4 + -3z + 9z = -9z + 9z Combine like terms: -3z + 9z = 6z -4 + 6z = -9z + 9z Combine like terms: -9z + 9z = 0 -4 + 6z = 0 Add '4' to each side of the equation. -4 + 4 + 6z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6z = 0 + 4 6z = 0 + 4 Combine like terms: 0 + 4 = 4 6z = 4 Divide each side by '6'. z = 0.6666666667 Simplifying z = 0.6666666667
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