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Simplifying 5(z + -4) + 7z + -2 = 0 Reorder the terms: 5(-4 + z) + 7z + -2 = 0 (-4 * 5 + z * 5) + 7z + -2 = 0 (-20 + 5z) + 7z + -2 = 0 Reorder the terms: -20 + -2 + 5z + 7z = 0 Combine like terms: -20 + -2 = -22 -22 + 5z + 7z = 0 Combine like terms: 5z + 7z = 12z -22 + 12z = 0 Solving -22 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 12z = 0 + 22 12z = 0 + 22 Combine like terms: 0 + 22 = 22 12z = 22 Divide each side by '12'. z = 1.833333333 Simplifying z = 1.833333333
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