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Simplifying 10 = 2z + 5z + -3z + -2 Reorder the terms: 10 = -2 + 2z + 5z + -3z Combine like terms: 2z + 5z = 7z 10 = -2 + 7z + -3z Combine like terms: 7z + -3z = 4z 10 = -2 + 4z Solving 10 = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + -4z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + -4z = -2 + 0 10 + -4z = -2 Add '-10' to each side of the equation. 10 + -10 + -4z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -2 + -10 -4z = -2 + -10 Combine like terms: -2 + -10 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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