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Simplifying -3(z + 4) = 8 + -2z Reorder the terms: -3(4 + z) = 8 + -2z (4 * -3 + z * -3) = 8 + -2z (-12 + -3z) = 8 + -2z Solving -12 + -3z = 8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -12 + -3z + 2z = 8 + -2z + 2z Combine like terms: -3z + 2z = -1z -12 + -1z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 -12 + -1z = 8 + 0 -12 + -1z = 8 Add '12' to each side of the equation. -12 + 12 + -1z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = 8 + 12 -1z = 8 + 12 Combine like terms: 8 + 12 = 20 -1z = 20 Divide each side by '-1'. z = -20 Simplifying z = -20
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