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Simplifying -5(3z + 7) = 0 Reorder the terms: -5(7 + 3z) = 0 (7 * -5 + 3z * -5) = 0 (-35 + -15z) = 0 Solving -35 + -15z = 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 + -15z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -15z = 0 + 35 -15z = 0 + 35 Combine like terms: 0 + 35 = 35 -15z = 35 Divide each side by '-15'. z = -2.333333333 Simplifying z = -2.333333333
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