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Simplifying 4(z + 3) = 2 + 5z Reorder the terms: 4(3 + z) = 2 + 5z (3 * 4 + z * 4) = 2 + 5z (12 + 4z) = 2 + 5z Solving 12 + 4z = 2 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 12 + 4z + -5z = 2 + 5z + -5z Combine like terms: 4z + -5z = -1z 12 + -1z = 2 + 5z + -5z Combine like terms: 5z + -5z = 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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