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Simplifying 2z + -3 = 6z + 2z Reorder the terms: -3 + 2z = 6z + 2z Combine like terms: 6z + 2z = 8z -3 + 2z = 8z Solving -3 + 2z = 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. -3 + 2z + -8z = 8z + -8z Combine like terms: 2z + -8z = -6z -3 + -6z = 8z + -8z Combine like terms: 8z + -8z = 0 -3 + -6z = 0 Add '3' to each side of the equation. -3 + 3 + -6z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6z = 0 + 3 -6z = 0 + 3 Combine like terms: 0 + 3 = 3 -6z = 3 Divide each side by '-6'. z = -0.5 Simplifying z = -0.5
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