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Simplifying 1 = 4z + -1z + -35 Reorder the terms: 1 = -35 + 4z + -1z Combine like terms: 4z + -1z = 3z 1 = -35 + 3z Solving 1 = -35 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + -3z = -35 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -3z = -35 + 0 1 + -3z = -35 Add '-1' to each side of the equation. 1 + -1 + -3z = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = -35 + -1 -3z = -35 + -1 Combine like terms: -35 + -1 = -36 -3z = -36 Divide each side by '-3'. z = 12 Simplifying z = 12
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