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Simplifying 21 = 2(4z + -5) Reorder the terms: 21 = 2(-5 + 4z) 21 = (-5 * 2 + 4z * 2) 21 = (-10 + 8z) Solving 21 = -10 + 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 + -8z = -10 + 8z + -8z Combine like terms: 8z + -8z = 0 21 + -8z = -10 + 0 21 + -8z = -10 Add '-21' to each side of the equation. 21 + -21 + -8z = -10 + -21 Combine like terms: 21 + -21 = 0 0 + -8z = -10 + -21 -8z = -10 + -21 Combine like terms: -10 + -21 = -31 -8z = -31 Divide each side by '-8'. z = 3.875 Simplifying z = 3.875
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