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Simplifying -4(z + -6) = 3z + -4 Reorder the terms: -4(-6 + z) = 3z + -4 (-6 * -4 + z * -4) = 3z + -4 (24 + -4z) = 3z + -4 Reorder the terms: 24 + -4z = -4 + 3z Solving 24 + -4z = -4 + 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 = -4 + 3z + -3z Combine like terms: -4z + -3z = -7z 24 + -7z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 24 + -7z = -4 + 0 24 + -7z = -4 Add '-24' to each side of the equation. 24 + -24 + -7z = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -7z = -4 + -24 -7z = -4 + -24 Combine like terms: -4 + -24 = -28 -7z = -28 Divide each side by '-7'. z = 4 Simplifying z = 4
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