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Simplifying 2z + 6 = -8 + 4z Reorder the terms: 6 + 2z = -8 + 4z Solving 6 + 2z = -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. 6 + 2z + -4z = -8 + 4z + -4z Combine like terms: 2z + -4z = -2z 6 + -2z = -8 + 4z + -4z Combine like terms: 4z + -4z = 0 6 + -2z = -8 + 0 6 + -2z = -8 Add '-6' to each side of the equation. 6 + -6 + -2z = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2z = -8 + -6 -2z = -8 + -6 Combine like terms: -8 + -6 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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