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Simplifying 2(2z + -6) = 4(3 + -2z) Reorder the terms: 2(-6 + 2z) = 4(3 + -2z) (-6 * 2 + 2z * 2) = 4(3 + -2z) (-12 + 4z) = 4(3 + -2z) -12 + 4z = (3 * 4 + -2z * 4) -12 + 4z = (12 + -8z) Solving -12 + 4z = 12 + -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. -12 + 4z + 8z = 12 + -8z + 8z Combine like terms: 4z + 8z = 12z -12 + 12z = 12 + -8z + 8z Combine like terms: -8z + 8z = 0 -12 + 12z = 12 + 0 -12 + 12z = 12 Add '12' to each side of the equation. -12 + 12 + 12z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12z = 12 + 12 12z = 12 + 12 Combine like terms: 12 + 12 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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