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Simplifying 5z + 10 + -3z = 2 + z + -9 Reorder the terms: 10 + 5z + -3z = 2 + z + -9 Combine like terms: 5z + -3z = 2z 10 + 2z = 2 + z + -9 Reorder the terms: 10 + 2z = 2 + -9 + z Combine like terms: 2 + -9 = -7 10 + 2z = -7 + z Solving 10 + 2z = -7 + 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 = -7 + z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = -7 + z + -1z Combine like terms: z + -1z = 0 10 + 1z = -7 + 0 10 + 1z = -7 Add '-10' to each side of the equation. 10 + -10 + 1z = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = -7 + -10 1z = -7 + -10 Combine like terms: -7 + -10 = -17 1z = -17 Divide each side by '1'. z = -17 Simplifying z = -17
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