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Simplifying 2(4z + 7) + -4(z + -1) = 0 Reorder the terms: 2(7 + 4z) + -4(z + -1) = 0 (7 * 2 + 4z * 2) + -4(z + -1) = 0 (14 + 8z) + -4(z + -1) = 0 Reorder the terms: 14 + 8z + -4(-1 + z) = 0 14 + 8z + (-1 * -4 + z * -4) = 0 14 + 8z + (4 + -4z) = 0 Reorder the terms: 14 + 4 + 8z + -4z = 0 Combine like terms: 14 + 4 = 18 18 + 8z + -4z = 0 Combine like terms: 8z + -4z = 4z 18 + 4z = 0 Solving 18 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4z = 0 + -18 4z = 0 + -18 Combine like terms: 0 + -18 = -18 4z = -18 Divide each side by '4'. z = -4.5 Simplifying z = -4.5
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