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Simplifying 7z + -3(z + 5) = 0 Reorder the terms: 7z + -3(5 + z) = 0 7z + (5 * -3 + z * -3) = 0 7z + (-15 + -3z) = 0 Reorder the terms: -15 + 7z + -3z = 0 Combine like terms: 7z + -3z = 4z -15 + 4z = 0 Solving -15 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4z = 0 + 15 4z = 0 + 15 Combine like terms: 0 + 15 = 15 4z = 15 Divide each side by '4'. z = 3.75 Simplifying z = 3.75
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