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Simplifying 17 + -3z + 2 = z + -15 + 6z Reorder the terms: 17 + 2 + -3z = z + -15 + 6z Combine like terms: 17 + 2 = 19 19 + -3z = z + -15 + 6z Reorder the terms: 19 + -3z = -15 + z + 6z Combine like terms: z + 6z = 7z 19 + -3z = -15 + 7z Solving 19 + -3z = -15 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 19 + -3z + -7z = -15 + 7z + -7z Combine like terms: -3z + -7z = -10z 19 + -10z = -15 + 7z + -7z Combine like terms: 7z + -7z = 0 19 + -10z = -15 + 0 19 + -10z = -15 Add '-19' to each side of the equation. 19 + -19 + -10z = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -10z = -15 + -19 -10z = -15 + -19 Combine like terms: -15 + -19 = -34 -10z = -34 Divide each side by '-10'. z = 3.4 Simplifying z = 3.4
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