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Simplifying -8z + 5 + 6z = 3 + -1z + 10 Reorder the terms: 5 + -8z + 6z = 3 + -1z + 10 Combine like terms: -8z + 6z = -2z 5 + -2z = 3 + -1z + 10 Reorder the terms: 5 + -2z = 3 + 10 + -1z Combine like terms: 3 + 10 = 13 5 + -2z = 13 + -1z Solving 5 + -2z = 13 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 5 + -2z + z = 13 + -1z + z Combine like terms: -2z + z = -1z 5 + -1z = 13 + -1z + z Combine like terms: -1z + z = 0 5 + -1z = 13 + 0 5 + -1z = 13 Add '-5' to each side of the equation. 5 + -5 + -1z = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 13 + -5 -1z = 13 + -5 Combine like terms: 13 + -5 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8
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