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Simplifying 5(3z + -7z + -4) = 0 Reorder the terms: 5(-4 + 3z + -7z) = 0 Combine like terms: 3z + -7z = -4z 5(-4 + -4z) = 0 (-4 * 5 + -4z * 5) = 0 (-20 + -20z) = 0 Solving -20 + -20z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -20z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -20z = 0 + 20 -20z = 0 + 20 Combine like terms: 0 + 20 = 20 -20z = 20 Divide each side by '-20'. z = -1 Simplifying z = -1
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