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Simplifying -2(4z + -3) = 4(7 + -3z) Reorder the terms: -2(-3 + 4z) = 4(7 + -3z) (-3 * -2 + 4z * -2) = 4(7 + -3z) (6 + -8z) = 4(7 + -3z) 6 + -8z = (7 * 4 + -3z * 4) 6 + -8z = (28 + -12z) Solving 6 + -8z = 28 + -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. 6 + -8z + 12z = 28 + -12z + 12z Combine like terms: -8z + 12z = 4z 6 + 4z = 28 + -12z + 12z Combine like terms: -12z + 12z = 0 6 + 4z = 28 + 0 6 + 4z = 28 Add '-6' to each side of the equation. 6 + -6 + 4z = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 28 + -6 4z = 28 + -6 Combine like terms: 28 + -6 = 22 4z = 22 Divide each side by '4'. z = 5.5 Simplifying z = 5.5
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