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