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Simplifying -3(4z + 4) = (-3z + -3) Reorder the terms: -3(4 + 4z) = (-3z + -3) (4 * -3 + 4z * -3) = (-3z + -3) (-12 + -12z) = (-3z + -3) Reorder the terms: -12 + -12z = (-3 + -3z) Remove parenthesis around (-3 + -3z) -12 + -12z = -3 + -3z Solving -12 + -12z = -3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -12 + -12z + 3z = -3 + -3z + 3z Combine like terms: -12z + 3z = -9z -12 + -9z = -3 + -3z + 3z Combine like terms: -3z + 3z = 0 -12 + -9z = -3 + 0 -12 + -9z = -3 Add '12' to each side of the equation. -12 + 12 + -9z = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -9z = -3 + 12 -9z = -3 + 12 Combine like terms: -3 + 12 = 9 -9z = 9 Divide each side by '-9'. z = -1 Simplifying z = -1
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