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Simplifying 2(3z + -3) + -4(z + 6) = 0 Reorder the terms: 2(-3 + 3z) + -4(z + 6) = 0 (-3 * 2 + 3z * 2) + -4(z + 6) = 0 (-6 + 6z) + -4(z + 6) = 0 Reorder the terms: -6 + 6z + -4(6 + z) = 0 -6 + 6z + (6 * -4 + z * -4) = 0 -6 + 6z + (-24 + -4z) = 0 Reorder the terms: -6 + -24 + 6z + -4z = 0 Combine like terms: -6 + -24 = -30 -30 + 6z + -4z = 0 Combine like terms: 6z + -4z = 2z -30 + 2z = 0 Solving -30 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 2z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2z = 0 + 30 2z = 0 + 30 Combine like terms: 0 + 30 = 30 2z = 30 Divide each side by '2'. z = 15 Simplifying z = 15
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