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Simplifying 5z + 10 + -3z = 9 + z + 7 Reorder the terms: 10 + 5z + -3z = 9 + z + 7 Combine like terms: 5z + -3z = 2z 10 + 2z = 9 + z + 7 Reorder the terms: 10 + 2z = 9 + 7 + z Combine like terms: 9 + 7 = 16 10 + 2z = 16 + z Solving 10 + 2z = 16 + 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. 10 + 2z + -1z = 16 + z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = 16 + z + -1z Combine like terms: z + -1z = 0 10 + 1z = 16 + 0 10 + 1z = 16 Add '-10' to each side of the equation. 10 + -10 + 1z = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 16 + -10 1z = 16 + -10 Combine like terms: 16 + -10 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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