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