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Simplifying 5z + 2 + -3z = 10 + z + 2 Reorder the terms: 2 + 5z + -3z = 10 + z + 2 Combine like terms: 5z + -3z = 2z 2 + 2z = 10 + z + 2 Reorder the terms: 2 + 2z = 10 + 2 + z Combine like terms: 10 + 2 = 12 2 + 2z = 12 + z Solving 2 + 2z = 12 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 2 + 2z + -1z = 12 + z + -1z Combine like terms: 2z + -1z = 1z 2 + 1z = 12 + z + -1z Combine like terms: z + -1z = 0 2 + 1z = 12 + 0 2 + 1z = 12 Add '-2' to each side of the equation. 2 + -2 + 1z = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 12 + -2 1z = 12 + -2 Combine like terms: 12 + -2 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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