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Simplifying -5z + 8 = -10 + -8z Reorder the terms: 8 + -5z = -10 + -8z Solving 8 + -5z = -10 + -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. 8 + -5z + 8z = -10 + -8z + 8z Combine like terms: -5z + 8z = 3z 8 + 3z = -10 + -8z + 8z Combine like terms: -8z + 8z = 0 8 + 3z = -10 + 0 8 + 3z = -10 Add '-8' to each side of the equation. 8 + -8 + 3z = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 3z = -10 + -8 3z = -10 + -8 Combine like terms: -10 + -8 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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