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Simplifying -4(z + 3) + 2z = 0 Reorder the terms: -4(3 + z) + 2z = 0 (3 * -4 + z * -4) + 2z = 0 (-12 + -4z) + 2z = 0 Combine like terms: -4z + 2z = -2z -12 + -2z = 0 Solving -12 + -2z = 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 + -2z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = 0 + 12 -2z = 0 + 12 Combine like terms: 0 + 12 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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