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Simplifying 4(z + 2) = 14 + -2(3 + -4z) Reorder the terms: 4(2 + z) = 14 + -2(3 + -4z) (2 * 4 + z * 4) = 14 + -2(3 + -4z) (8 + 4z) = 14 + -2(3 + -4z) 8 + 4z = 14 + (3 * -2 + -4z * -2) 8 + 4z = 14 + (-6 + 8z) Combine like terms: 14 + -6 = 8 8 + 4z = 8 + 8z Add '-8' to each side of the equation. 8 + -8 + 4z = 8 + -8 + 8z Combine like terms: 8 + -8 = 0 0 + 4z = 8 + -8 + 8z 4z = 8 + -8 + 8z Combine like terms: 8 + -8 = 0 4z = 0 + 8z 4z = 8z Solving 4z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4z + -8z = 8z + -8z Combine like terms: 4z + -8z = -4z -4z = 8z + -8z Combine like terms: 8z + -8z = 0 -4z = 0 Divide each side by '-4'. z = 0 Simplifying z = 0
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