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Simplifying 4z + 10 = -86 + -8z Reorder the terms: 10 + 4z = -86 + -8z Solving 10 + 4z = -86 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 10 + 4z + 8z = -86 + -8z + 8z Combine like terms: 4z + 8z = 12z 10 + 12z = -86 + -8z + 8z Combine like terms: -8z + 8z = 0 10 + 12z = -86 + 0 10 + 12z = -86 Add '-10' to each side of the equation. 10 + -10 + 12z = -86 + -10 Combine like terms: 10 + -10 = 0 0 + 12z = -86 + -10 12z = -86 + -10 Combine like terms: -86 + -10 = -96 12z = -96 Divide each side by '12'. z = -8 Simplifying z = -8
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