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Simplifying 3(2z + -1) = 2 + -3z + -4 Reorder the terms: 3(-1 + 2z) = 2 + -3z + -4 (-1 * 3 + 2z * 3) = 2 + -3z + -4 (-3 + 6z) = 2 + -3z + -4 Reorder the terms: -3 + 6z = 2 + -4 + -3z Combine like terms: 2 + -4 = -2 -3 + 6z = -2 + -3z Solving -3 + 6z = -2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -3 + 6z + 3z = -2 + -3z + 3z Combine like terms: 6z + 3z = 9z -3 + 9z = -2 + -3z + 3z Combine like terms: -3z + 3z = 0 -3 + 9z = -2 + 0 -3 + 9z = -2 Add '3' to each side of the equation. -3 + 3 + 9z = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 9z = -2 + 3 9z = -2 + 3 Combine like terms: -2 + 3 = 1 9z = 1 Divide each side by '9'. z = 0.1111111111 Simplifying z = 0.1111111111
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