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Simplifying -9z + -21 = 35 + -1z Reorder the terms: -21 + -9z = 35 + -1z Solving -21 + -9z = 35 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -21 + -9z + z = 35 + -1z + z Combine like terms: -9z + z = -8z -21 + -8z = 35 + -1z + z Combine like terms: -1z + z = 0 -21 + -8z = 35 + 0 -21 + -8z = 35 Add '21' to each side of the equation. -21 + 21 + -8z = 35 + 21 Combine like terms: -21 + 21 = 0 0 + -8z = 35 + 21 -8z = 35 + 21 Combine like terms: 35 + 21 = 56 -8z = 56 Divide each side by '-8'. z = -7 Simplifying z = -7
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