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Simplifying 8z + 5 + -2z = 8 + 5z + -10 Reorder the terms: 5 + 8z + -2z = 8 + 5z + -10 Combine like terms: 8z + -2z = 6z 5 + 6z = 8 + 5z + -10 Reorder the terms: 5 + 6z = 8 + -10 + 5z Combine like terms: 8 + -10 = -2 5 + 6z = -2 + 5z Solving 5 + 6z = -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. 5 + 6z + -5z = -2 + 5z + -5z Combine like terms: 6z + -5z = 1z 5 + 1z = -2 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + 1z = -2 + 0 5 + 1z = -2 Add '-5' to each side of the equation. 5 + -5 + 1z = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = -2 + -5 1z = -2 + -5 Combine like terms: -2 + -5 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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