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Simplifying 4z + -6 = 3z + 12 Reorder the terms: -6 + 4z = 3z + 12 Reorder the terms: -6 + 4z = 12 + 3z Solving -6 + 4z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -6 + 4z + -3z = 12 + 3z + -3z Combine like terms: 4z + -3z = 1z -6 + 1z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + 1z = 12 + 0 -6 + 1z = 12 Add '6' to each side of the equation. -6 + 6 + 1z = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = 12 + 6 1z = 12 + 6 Combine like terms: 12 + 6 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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