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Simplifying 5z + 3(z + -7) = 0 Reorder the terms: 5z + 3(-7 + z) = 0 5z + (-7 * 3 + z * 3) = 0 5z + (-21 + 3z) = 0 Reorder the terms: -21 + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z -21 + 8z = 0 Solving -21 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 8z = 0 + 21 8z = 0 + 21 Combine like terms: 0 + 21 = 21 8z = 21 Divide each side by '8'. z = 2.625 Simplifying z = 2.625
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