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Simplifying -4(z + -6) = 5 + -3z Reorder the terms: -4(-6 + z) = 5 + -3z (-6 * -4 + z * -4) = 5 + -3z (24 + -4z) = 5 + -3z Solving 24 + -4z = 5 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 24 + -4z + 3z = 5 + -3z + 3z Combine like terms: -4z + 3z = -1z 24 + -1z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 24 + -1z = 5 + 0 24 + -1z = 5 Add '-24' to each side of the equation. 24 + -24 + -1z = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -1z = 5 + -24 -1z = 5 + -24 Combine like terms: 5 + -24 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19
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