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Simplifying -2y + -2z + 10 + 2y + -1z = 8 Reorder the terms: 10 + -2y + 2y + -2z + -1z = 8 Combine like terms: -2y + 2y = 0 10 + 0 + -2z + -1z = 8 10 + -2z + -1z = 8 Combine like terms: -2z + -1z = -3z 10 + -3z = 8 Solving 10 + -3z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3z = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -3z = 8 + -10 -3z = 8 + -10 Combine like terms: 8 + -10 = -2 -3z = -2 Divide each side by '-3'. z = 0.6666666667 Simplifying z = 0.6666666667
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