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Simplifying 3(7 + -2z) = 14 + -8(z + -1) (7 * 3 + -2z * 3) = 14 + -8(z + -1) (21 + -6z) = 14 + -8(z + -1) Reorder the terms: 21 + -6z = 14 + -8(-1 + z) 21 + -6z = 14 + (-1 * -8 + z * -8) 21 + -6z = 14 + (8 + -8z) Combine like terms: 14 + 8 = 22 21 + -6z = 22 + -8z Solving 21 + -6z = 22 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 21 + -6z + 8z = 22 + -8z + 8z Combine like terms: -6z + 8z = 2z 21 + 2z = 22 + -8z + 8z Combine like terms: -8z + 8z = 0 21 + 2z = 22 + 0 21 + 2z = 22 Add '-21' to each side of the equation. 21 + -21 + 2z = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 2z = 22 + -21 2z = 22 + -21 Combine like terms: 22 + -21 = 1 2z = 1 Divide each side by '2'. z = 0.5 Simplifying z = 0.5
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