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Simplifying -7(z + 5) + 4z = 0 Reorder the terms: -7(5 + z) + 4z = 0 (5 * -7 + z * -7) + 4z = 0 (-35 + -7z) + 4z = 0 Combine like terms: -7z + 4z = -3z -35 + -3z = 0 Solving -35 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -3z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -3z = 0 + 35 -3z = 0 + 35 Combine like terms: 0 + 35 = 35 -3z = 35 Divide each side by '-3'. z = -11.66666667 Simplifying z = -11.66666667
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