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Simplifying 3z + -7 = 13 + 17z Reorder the terms: -7 + 3z = 13 + 17z Solving -7 + 3z = 13 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -7 + 3z + -17z = 13 + 17z + -17z Combine like terms: 3z + -17z = -14z -7 + -14z = 13 + 17z + -17z Combine like terms: 17z + -17z = 0 -7 + -14z = 13 + 0 -7 + -14z = 13 Add '7' to each side of the equation. -7 + 7 + -14z = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -14z = 13 + 7 -14z = 13 + 7 Combine like terms: 13 + 7 = 20 -14z = 20 Divide each side by '-14'. z = -1.428571429 Simplifying z = -1.428571429
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