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Simplifying 6 + 5z = -3z + -8 Reorder the terms: 6 + 5z = -8 + -3z Solving 6 + 5z = -8 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 6 + 5z + 3z = -8 + -3z + 3z Combine like terms: 5z + 3z = 8z 6 + 8z = -8 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + 8z = -8 + 0 6 + 8z = -8 Add '-6' to each side of the equation. 6 + -6 + 8z = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 8z = -8 + -6 8z = -8 + -6 Combine like terms: -8 + -6 = -14 8z = -14 Divide each side by '8'. z = -1.75 Simplifying z = -1.75
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