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Simplifying 5(6z + -1) + -4(z + 1) = 0 Reorder the terms: 5(-1 + 6z) + -4(z + 1) = 0 (-1 * 5 + 6z * 5) + -4(z + 1) = 0 (-5 + 30z) + -4(z + 1) = 0 Reorder the terms: -5 + 30z + -4(1 + z) = 0 -5 + 30z + (1 * -4 + z * -4) = 0 -5 + 30z + (-4 + -4z) = 0 Reorder the terms: -5 + -4 + 30z + -4z = 0 Combine like terms: -5 + -4 = -9 -9 + 30z + -4z = 0 Combine like terms: 30z + -4z = 26z -9 + 26z = 0 Solving -9 + 26z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 26z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 26z = 0 + 9 26z = 0 + 9 Combine like terms: 0 + 9 = 9 26z = 9 Divide each side by '26'. z = 0.3461538462 Simplifying z = 0.3461538462
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