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Simplifying -7 + 10 + -2 = 10z + 4 + -6 Combine like terms: -7 + 10 = 3 3 + -2 = 10z + 4 + -6 Combine like terms: 3 + -2 = 1 1 = 10z + 4 + -6 Reorder the terms: 1 = 4 + -6 + 10z Combine like terms: 4 + -6 = -2 1 = -2 + 10z Solving 1 = -2 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 1 + -10z = -2 + 10z + -10z Combine like terms: 10z + -10z = 0 1 + -10z = -2 + 0 1 + -10z = -2 Add '-1' to each side of the equation. 1 + -1 + -10z = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -10z = -2 + -1 -10z = -2 + -1 Combine like terms: -2 + -1 = -3 -10z = -3 Divide each side by '-10'. z = 0.3 Simplifying z = 0.3
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