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Simplifying 2z + 4 = 4(2z + -2) Reorder the terms: 4 + 2z = 4(2z + -2) Reorder the terms: 4 + 2z = 4(-2 + 2z) 4 + 2z = (-2 * 4 + 2z * 4) 4 + 2z = (-8 + 8z) Solving 4 + 2z = -8 + 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. 4 + 2z + -8z = -8 + 8z + -8z Combine like terms: 2z + -8z = -6z 4 + -6z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + -6z = -8 + 0 4 + -6z = -8 Add '-4' to each side of the equation. 4 + -4 + -6z = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -6z = -8 + -4 -6z = -8 + -4 Combine like terms: -8 + -4 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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