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Simplifying 3z + -3 + 3z + -3 = 2z + -2 Reorder the terms: -3 + -3 + 3z + 3z = 2z + -2 Combine like terms: -3 + -3 = -6 -6 + 3z + 3z = 2z + -2 Combine like terms: 3z + 3z = 6z -6 + 6z = 2z + -2 Reorder the terms: -6 + 6z = -2 + 2z Solving -6 + 6z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -6 + 6z + -2z = -2 + 2z + -2z Combine like terms: 6z + -2z = 4z -6 + 4z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 -6 + 4z = -2 + 0 -6 + 4z = -2 Add '6' to each side of the equation. -6 + 6 + 4z = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 4z = -2 + 6 4z = -2 + 6 Combine like terms: -2 + 6 = 4 4z = 4 Divide each side by '4'. z = 1 Simplifying z = 1
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