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Simplifying 2(3z + -8) + -4(z + 7) = 0 Reorder the terms: 2(-8 + 3z) + -4(z + 7) = 0 (-8 * 2 + 3z * 2) + -4(z + 7) = 0 (-16 + 6z) + -4(z + 7) = 0 Reorder the terms: -16 + 6z + -4(7 + z) = 0 -16 + 6z + (7 * -4 + z * -4) = 0 -16 + 6z + (-28 + -4z) = 0 Reorder the terms: -16 + -28 + 6z + -4z = 0 Combine like terms: -16 + -28 = -44 -44 + 6z + -4z = 0 Combine like terms: 6z + -4z = 2z -44 + 2z = 0 Solving -44 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 2z = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 2z = 0 + 44 2z = 0 + 44 Combine like terms: 0 + 44 = 44 2z = 44 Divide each side by '2'. z = 22 Simplifying z = 22
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