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Simplifying 10z + -5 + 7z + -10 + 8z = 2z + -6 + 4z + -8 Reorder the terms: -5 + -10 + 10z + 7z + 8z = 2z + -6 + 4z + -8 Combine like terms: -5 + -10 = -15 -15 + 10z + 7z + 8z = 2z + -6 + 4z + -8 Combine like terms: 10z + 7z = 17z -15 + 17z + 8z = 2z + -6 + 4z + -8 Combine like terms: 17z + 8z = 25z -15 + 25z = 2z + -6 + 4z + -8 Reorder the terms: -15 + 25z = -6 + -8 + 2z + 4z Combine like terms: -6 + -8 = -14 -15 + 25z = -14 + 2z + 4z Combine like terms: 2z + 4z = 6z -15 + 25z = -14 + 6z Solving -15 + 25z = -14 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -15 + 25z + -6z = -14 + 6z + -6z Combine like terms: 25z + -6z = 19z -15 + 19z = -14 + 6z + -6z Combine like terms: 6z + -6z = 0 -15 + 19z = -14 + 0 -15 + 19z = -14 Add '15' to each side of the equation. -15 + 15 + 19z = -14 + 15 Combine like terms: -15 + 15 = 0 0 + 19z = -14 + 15 19z = -14 + 15 Combine like terms: -14 + 15 = 1 19z = 1 Divide each side by '19'. z = 0.05263157895 Simplifying z = 0.05263157895
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