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Simplifying -4(z + 3) + -4(5 + -4z) = 0 Reorder the terms: -4(3 + z) + -4(5 + -4z) = 0 (3 * -4 + z * -4) + -4(5 + -4z) = 0 (-12 + -4z) + -4(5 + -4z) = 0 -12 + -4z + (5 * -4 + -4z * -4) = 0 -12 + -4z + (-20 + 16z) = 0 Reorder the terms: -12 + -20 + -4z + 16z = 0 Combine like terms: -12 + -20 = -32 -32 + -4z + 16z = 0 Combine like terms: -4z + 16z = 12z -32 + 12z = 0 Solving -32 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 12z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 12z = 0 + 32 12z = 0 + 32 Combine like terms: 0 + 32 = 32 12z = 32 Divide each side by '12'. z = 2.666666667 Simplifying z = 2.666666667
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