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Simplifying -3(z + 6) = -4z Reorder the terms: -3(6 + z) = -4z (6 * -3 + z * -3) = -4z (-18 + -3z) = -4z Solving -18 + -3z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -18 + -3z + 4z = -4z + 4z Combine like terms: -3z + 4z = 1z -18 + 1z = -4z + 4z Combine like terms: -4z + 4z = 0 -18 + 1z = 0 Add '18' to each side of the equation. -18 + 18 + 1z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1z = 0 + 18 1z = 0 + 18 Combine like terms: 0 + 18 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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