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Simplifying -7(z + 4) + 4z = 0 Reorder the terms: -7(4 + z) + 4z = 0 (4 * -7 + z * -7) + 4z = 0 (-28 + -7z) + 4z = 0 Combine like terms: -7z + 4z = -3z -28 + -3z = 0 Solving -28 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -3z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -3z = 0 + 28 -3z = 0 + 28 Combine like terms: 0 + 28 = 28 -3z = 28 Divide each side by '-3'. z = -9.333333333 Simplifying z = -9.333333333
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