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Simplifying 3z + 2 = 5z + -10 Reorder the terms: 2 + 3z = 5z + -10 Reorder the terms: 2 + 3z = -10 + 5z Solving 2 + 3z = -10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 3z + -5z = -10 + 5z + -5z Combine like terms: 3z + -5z = -2z 2 + -2z = -10 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + -2z = -10 + 0 2 + -2z = -10 Add '-2' to each side of the equation. 2 + -2 + -2z = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = -10 + -2 -2z = -10 + -2 Combine like terms: -10 + -2 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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