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Simplifying 3(z + 4) = 2z + 6 Reorder the terms: 3(4 + z) = 2z + 6 (4 * 3 + z * 3) = 2z + 6 (12 + 3z) = 2z + 6 Reorder the terms: 12 + 3z = 6 + 2z Solving 12 + 3z = 6 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 12 + 3z + -2z = 6 + 2z + -2z Combine like terms: 3z + -2z = 1z 12 + 1z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 12 + 1z = 6 + 0 12 + 1z = 6 Add '-12' to each side of the equation. 12 + -12 + 1z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 6 + -12 1z = 6 + -12 Combine like terms: 6 + -12 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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