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Simplifying -3(z + 4) = -1z Reorder the terms: -3(4 + z) = -1z (4 * -3 + z * -3) = -1z (-12 + -3z) = -1z Solving -12 + -3z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -12 + -3z + z = -1z + z Combine like terms: -3z + z = -2z -12 + -2z = -1z + z Combine like terms: -1z + z = 0 -12 + -2z = 0 Add '12' to each side of the equation. -12 + 12 + -2z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = 0 + 12 -2z = 0 + 12 Combine like terms: 0 + 12 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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