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Simplifying 3z + -17 = 19 + 7z Reorder the terms: -17 + 3z = 19 + 7z Solving -17 + 3z = 19 + 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. -17 + 3z + -7z = 19 + 7z + -7z Combine like terms: 3z + -7z = -4z -17 + -4z = 19 + 7z + -7z Combine like terms: 7z + -7z = 0 -17 + -4z = 19 + 0 -17 + -4z = 19 Add '17' to each side of the equation. -17 + 17 + -4z = 19 + 17 Combine like terms: -17 + 17 = 0 0 + -4z = 19 + 17 -4z = 19 + 17 Combine like terms: 19 + 17 = 36 -4z = 36 Divide each side by '-4'. z = -9 Simplifying z = -9
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