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Simplifying -6(z + 3) + 4z = 0 Reorder the terms: -6(3 + z) + 4z = 0 (3 * -6 + z * -6) + 4z = 0 (-18 + -6z) + 4z = 0 Combine like terms: -6z + 4z = -2z -18 + -2z = 0 Solving -18 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -2z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -2z = 0 + 18 -2z = 0 + 18 Combine like terms: 0 + 18 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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