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Simplifying 2(4z + -1) + -4(z + 7) = 0 Reorder the terms: 2(-1 + 4z) + -4(z + 7) = 0 (-1 * 2 + 4z * 2) + -4(z + 7) = 0 (-2 + 8z) + -4(z + 7) = 0 Reorder the terms: -2 + 8z + -4(7 + z) = 0 -2 + 8z + (7 * -4 + z * -4) = 0 -2 + 8z + (-28 + -4z) = 0 Reorder the terms: -2 + -28 + 8z + -4z = 0 Combine like terms: -2 + -28 = -30 -30 + 8z + -4z = 0 Combine like terms: 8z + -4z = 4z -30 + 4z = 0 Solving -30 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 4z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 4z = 0 + 30 4z = 0 + 30 Combine like terms: 0 + 30 = 30 4z = 30 Divide each side by '4'. z = 7.5 Simplifying z = 7.5
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