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Simplifying 8z + 10 + -2z = 1 + 5z + -6 Reorder the terms: 10 + 8z + -2z = 1 + 5z + -6 Combine like terms: 8z + -2z = 6z 10 + 6z = 1 + 5z + -6 Reorder the terms: 10 + 6z = 1 + -6 + 5z Combine like terms: 1 + -6 = -5 10 + 6z = -5 + 5z Solving 10 + 6z = -5 + 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. 10 + 6z + -5z = -5 + 5z + -5z Combine like terms: 6z + -5z = 1z 10 + 1z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + 1z = -5 + 0 10 + 1z = -5 Add '-10' to each side of the equation. 10 + -10 + 1z = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = -5 + -10 1z = -5 + -10 Combine like terms: -5 + -10 = -15 1z = -15 Divide each side by '1'. z = -15 Simplifying z = -15
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