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