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Simplifying 5 + 3z = 6z + 2z + -10 Reorder the terms: 5 + 3z = -10 + 6z + 2z Combine like terms: 6z + 2z = 8z 5 + 3z = -10 + 8z Solving 5 + 3z = -10 + 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. 5 + 3z + -8z = -10 + 8z + -8z Combine like terms: 3z + -8z = -5z 5 + -5z = -10 + 8z + -8z Combine like terms: 8z + -8z = 0 5 + -5z = -10 + 0 5 + -5z = -10 Add '-5' to each side of the equation. 5 + -5 + -5z = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5z = -10 + -5 -5z = -10 + -5 Combine like terms: -10 + -5 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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