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Simplifying 8(z + -3) = 12z Reorder the terms: 8(-3 + z) = 12z (-3 * 8 + z * 8) = 12z (-24 + 8z) = 12z Solving -24 + 8z = 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. -24 + 8z + -12z = 12z + -12z Combine like terms: 8z + -12z = -4z -24 + -4z = 12z + -12z Combine like terms: 12z + -12z = 0 -24 + -4z = 0 Add '24' to each side of the equation. -24 + 24 + -4z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -4z = 0 + 24 -4z = 0 + 24 Combine like terms: 0 + 24 = 24 -4z = 24 Divide each side by '-4'. z = -6 Simplifying z = -6
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