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Simplifying 3z + -13 = -17 + 7z Reorder the terms: -13 + 3z = -17 + 7z Solving -13 + 3z = -17 + 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. -13 + 3z + -7z = -17 + 7z + -7z Combine like terms: 3z + -7z = -4z -13 + -4z = -17 + 7z + -7z Combine like terms: 7z + -7z = 0 -13 + -4z = -17 + 0 -13 + -4z = -17 Add '13' to each side of the equation. -13 + 13 + -4z = -17 + 13 Combine like terms: -13 + 13 = 0 0 + -4z = -17 + 13 -4z = -17 + 13 Combine like terms: -17 + 13 = -4 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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