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Simplifying -6(5z + 7) + 4(z + -6) = 0 Reorder the terms: -6(7 + 5z) + 4(z + -6) = 0 (7 * -6 + 5z * -6) + 4(z + -6) = 0 (-42 + -30z) + 4(z + -6) = 0 Reorder the terms: -42 + -30z + 4(-6 + z) = 0 -42 + -30z + (-6 * 4 + z * 4) = 0 -42 + -30z + (-24 + 4z) = 0 Reorder the terms: -42 + -24 + -30z + 4z = 0 Combine like terms: -42 + -24 = -66 -66 + -30z + 4z = 0 Combine like terms: -30z + 4z = -26z -66 + -26z = 0 Solving -66 + -26z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -26z = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -26z = 0 + 66 -26z = 0 + 66 Combine like terms: 0 + 66 = 66 -26z = 66 Divide each side by '-26'. z = -2.538461538 Simplifying z = -2.538461538
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