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Simplifying 3(z + 5) + -7z = 0 Reorder the terms: 3(5 + z) + -7z = 0 (5 * 3 + z * 3) + -7z = 0 (15 + 3z) + -7z = 0 Combine like terms: 3z + -7z = -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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