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Simplifying 7(5z + -6) = 0 Reorder the terms: 7(-6 + 5z) = 0 (-6 * 7 + 5z * 7) = 0 (-42 + 35z) = 0 Solving -42 + 35z = 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 + 35z = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 35z = 0 + 42 35z = 0 + 42 Combine like terms: 0 + 42 = 42 35z = 42 Divide each side by '35'. z = 1.2 Simplifying z = 1.2
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