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Simplifying -4(z + 11) + 4 = 8 Reorder the terms: -4(11 + z) + 4 = 8 (11 * -4 + z * -4) + 4 = 8 (-44 + -4z) + 4 = 8 Reorder the terms: -44 + 4 + -4z = 8 Combine like terms: -44 + 4 = -40 -40 + -4z = 8 Solving -40 + -4z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -4z = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -4z = 8 + 40 -4z = 8 + 40 Combine like terms: 8 + 40 = 48 -4z = 48 Divide each side by '-4'. z = -12 Simplifying z = -12
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