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Simplifying 8 + 2z + -7 = 6z + 8 + -3z Reorder the terms: 8 + -7 + 2z = 6z + 8 + -3z Combine like terms: 8 + -7 = 1 1 + 2z = 6z + 8 + -3z Reorder the terms: 1 + 2z = 8 + 6z + -3z Combine like terms: 6z + -3z = 3z 1 + 2z = 8 + 3z Solving 1 + 2z = 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. 1 + 2z + -3z = 8 + 3z + -3z Combine like terms: 2z + -3z = -1z 1 + -1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -1z = 8 + 0 1 + -1z = 8 Add '-1' to each side of the equation. 1 + -1 + -1z = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 8 + -1 -1z = 8 + -1 Combine like terms: 8 + -1 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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