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Simplifying 3z + 5 + 5z = 2z + -1 Reorder the terms: 5 + 3z + 5z = 2z + -1 Combine like terms: 3z + 5z = 8z 5 + 8z = 2z + -1 Reorder the terms: 5 + 8z = -1 + 2z Solving 5 + 8z = -1 + 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. 5 + 8z + -2z = -1 + 2z + -2z Combine like terms: 8z + -2z = 6z 5 + 6z = -1 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 6z = -1 + 0 5 + 6z = -1 Add '-5' to each side of the equation. 5 + -5 + 6z = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = -1 + -5 6z = -1 + -5 Combine like terms: -1 + -5 = -6 6z = -6 Divide each side by '6'. z = -1 Simplifying z = -1
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