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Simplifying 6(z + -2) = 4z + 8 Reorder the terms: 6(-2 + z) = 4z + 8 (-2 * 6 + z * 6) = 4z + 8 (-12 + 6z) = 4z + 8 Reorder the terms: -12 + 6z = 8 + 4z Solving -12 + 6z = 8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -12 + 6z + -4z = 8 + 4z + -4z Combine like terms: 6z + -4z = 2z -12 + 2z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + 2z = 8 + 0 -12 + 2z = 8 Add '12' to each side of the equation. -12 + 12 + 2z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = 8 + 12 2z = 8 + 12 Combine like terms: 8 + 12 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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