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Simplifying 6(1z + -4) = 4(z + 3) Reorder the terms: 6(-4 + 1z) = 4(z + 3) (-4 * 6 + 1z * 6) = 4(z + 3) (-24 + 6z) = 4(z + 3) Reorder the terms: -24 + 6z = 4(3 + z) -24 + 6z = (3 * 4 + z * 4) -24 + 6z = (12 + 4z) Solving -24 + 6z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -24 + 6z + -4z = 12 + 4z + -4z Combine like terms: 6z + -4z = 2z -24 + 2z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 -24 + 2z = 12 + 0 -24 + 2z = 12 Add '24' to each side of the equation. -24 + 24 + 2z = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 2z = 12 + 24 2z = 12 + 24 Combine like terms: 12 + 24 = 36 2z = 36 Divide each side by '2'. z = 18 Simplifying z = 18
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