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Simplifying 4(z + -2) = 3z Reorder the terms: 4(-2 + z) = 3z (-2 * 4 + z * 4) = 3z (-8 + 4z) = 3z Solving -8 + 4z = 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. -8 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z -8 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 -8 + 1z = 0 Add '8' to each side of the equation. -8 + 8 + 1z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 0 + 8 1z = 0 + 8 Combine like terms: 0 + 8 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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