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Simplifying 6(3z + 4) = 4(4z + -2) Reorder the terms: 6(4 + 3z) = 4(4z + -2) (4 * 6 + 3z * 6) = 4(4z + -2) (24 + 18z) = 4(4z + -2) Reorder the terms: 24 + 18z = 4(-2 + 4z) 24 + 18z = (-2 * 4 + 4z * 4) 24 + 18z = (-8 + 16z) Solving 24 + 18z = -8 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 24 + 18z + -16z = -8 + 16z + -16z Combine like terms: 18z + -16z = 2z 24 + 2z = -8 + 16z + -16z Combine like terms: 16z + -16z = 0 24 + 2z = -8 + 0 24 + 2z = -8 Add '-24' to each side of the equation. 24 + -24 + 2z = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 2z = -8 + -24 2z = -8 + -24 Combine like terms: -8 + -24 = -32 2z = -32 Divide each side by '2'. z = -16 Simplifying z = -16
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