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Simplifying -7z + -16 = 4z + 17 Reorder the terms: -16 + -7z = 4z + 17 Reorder the terms: -16 + -7z = 17 + 4z Solving -16 + -7z = 17 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -16 + -7z + -4z = 17 + 4z + -4z Combine like terms: -7z + -4z = -11z -16 + -11z = 17 + 4z + -4z Combine like terms: 4z + -4z = 0 -16 + -11z = 17 + 0 -16 + -11z = 17 Add '16' to each side of the equation. -16 + 16 + -11z = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -11z = 17 + 16 -11z = 17 + 16 Combine like terms: 17 + 16 = 33 -11z = 33 Divide each side by '-11'. z = -3 Simplifying z = -3
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