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Simplifying 21 = 3(4z + -5) Reorder the terms: 21 = 3(-5 + 4z) 21 = (-5 * 3 + 4z * 3) 21 = (-15 + 12z) Solving 21 = -15 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 21 + -12z = -15 + 12z + -12z Combine like terms: 12z + -12z = 0 21 + -12z = -15 + 0 21 + -12z = -15 Add '-21' to each side of the equation. 21 + -21 + -12z = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -12z = -15 + -21 -12z = -15 + -21 Combine like terms: -15 + -21 = -36 -12z = -36 Divide each side by '-12'. z = 3 Simplifying z = 3
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