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Simplifying 35 = 7(3z + -1) Reorder the terms: 35 = 7(-1 + 3z) 35 = (-1 * 7 + 3z * 7) 35 = (-7 + 21z) Solving 35 = -7 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. 35 + -21z = -7 + 21z + -21z Combine like terms: 21z + -21z = 0 35 + -21z = -7 + 0 35 + -21z = -7 Add '-35' to each side of the equation. 35 + -35 + -21z = -7 + -35 Combine like terms: 35 + -35 = 0 0 + -21z = -7 + -35 -21z = -7 + -35 Combine like terms: -7 + -35 = -42 -21z = -42 Divide each side by '-21'. z = 2 Simplifying z = 2
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