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Simplifying 4z + -8(z + 1) = 38 Reorder the terms: 4z + -8(1 + z) = 38 4z + (1 * -8 + z * -8) = 38 4z + (-8 + -8z) = 38 Reorder the terms: -8 + 4z + -8z = 38 Combine like terms: 4z + -8z = -4z -8 + -4z = 38 Solving -8 + -4z = 38 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -4z = 38 + 8 Combine like terms: -8 + 8 = 0 0 + -4z = 38 + 8 -4z = 38 + 8 Combine like terms: 38 + 8 = 46 -4z = 46 Divide each side by '-4'. z = -11.5 Simplifying z = -11.5
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