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Simplifying 6(3z + -7) = 0 Reorder the terms: 6(-7 + 3z) = 0 (-7 * 6 + 3z * 6) = 0 (-42 + 18z) = 0 Solving -42 + 18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 18z = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 18z = 0 + 42 18z = 0 + 42 Combine like terms: 0 + 42 = 42 18z = 42 Divide each side by '18'. z = 2.333333333 Simplifying z = 2.333333333
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