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Simplifying 2(-4z + 7) = -18 Reorder the terms: 2(7 + -4z) = -18 (7 * 2 + -4z * 2) = -18 (14 + -8z) = -18 Solving 14 + -8z = -18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -8z = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -8z = -18 + -14 -8z = -18 + -14 Combine like terms: -18 + -14 = -32 -8z = -32 Divide each side by '-8'. z = 4 Simplifying z = 4
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