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Simplifying -3(4z + -7) = 3(6 + -2z) Reorder the terms: -3(-7 + 4z) = 3(6 + -2z) (-7 * -3 + 4z * -3) = 3(6 + -2z) (21 + -12z) = 3(6 + -2z) 21 + -12z = (6 * 3 + -2z * 3) 21 + -12z = (18 + -6z) Solving 21 + -12z = 18 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 21 + -12z + 6z = 18 + -6z + 6z Combine like terms: -12z + 6z = -6z 21 + -6z = 18 + -6z + 6z Combine like terms: -6z + 6z = 0 21 + -6z = 18 + 0 21 + -6z = 18 Add '-21' to each side of the equation. 21 + -21 + -6z = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -6z = 18 + -21 -6z = 18 + -21 Combine like terms: 18 + -21 = -3 -6z = -3 Divide each side by '-6'. z = 0.5 Simplifying z = 0.5
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