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Simplifying 2z + 10 = 5z + -2 Reorder the terms: 10 + 2z = 5z + -2 Reorder the terms: 10 + 2z = -2 + 5z Solving 10 + 2z = -2 + 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. 10 + 2z + -5z = -2 + 5z + -5z Combine like terms: 2z + -5z = -3z 10 + -3z = -2 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + -3z = -2 + 0 10 + -3z = -2 Add '-10' to each side of the equation. 10 + -10 + -3z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3z = -2 + -10 -3z = -2 + -10 Combine like terms: -2 + -10 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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