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Simplifying 3z + 12 = 0.5(4z + 4) Reorder the terms: 12 + 3z = 0.5(4z + 4) Reorder the terms: 12 + 3z = 0.5(4 + 4z) 12 + 3z = (4 * 0.5 + 4z * 0.5) 12 + 3z = (2 + 2z) Solving 12 + 3z = 2 + 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 = 2 + 2z + -2z Combine like terms: 3z + -2z = 1z 12 + 1z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 12 + 1z = 2 + 0 12 + 1z = 2 Add '-12' to each side of the equation. 12 + -12 + 1z = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 2 + -12 1z = 2 + -12 Combine like terms: 2 + -12 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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