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