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Simplifying 4(3z + 1) = 14z Reorder the terms: 4(1 + 3z) = 14z (1 * 4 + 3z * 4) = 14z (4 + 12z) = 14z Solving 4 + 12z = 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 4 + 12z + -14z = 14z + -14z Combine like terms: 12z + -14z = -2z 4 + -2z = 14z + -14z Combine like terms: 14z + -14z = 0 4 + -2z = 0 Add '-4' to each side of the equation. 4 + -4 + -2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = 0 + -4 -2z = 0 + -4 Combine like terms: 0 + -4 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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