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Simplifying 6(9z + -6) + -8(4z + 5) = 0 Reorder the terms: 6(-6 + 9z) + -8(4z + 5) = 0 (-6 * 6 + 9z * 6) + -8(4z + 5) = 0 (-36 + 54z) + -8(4z + 5) = 0 Reorder the terms: -36 + 54z + -8(5 + 4z) = 0 -36 + 54z + (5 * -8 + 4z * -8) = 0 -36 + 54z + (-40 + -32z) = 0 Reorder the terms: -36 + -40 + 54z + -32z = 0 Combine like terms: -36 + -40 = -76 -76 + 54z + -32z = 0 Combine like terms: 54z + -32z = 22z -76 + 22z = 0 Solving -76 + 22z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + 22z = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 22z = 0 + 76 22z = 0 + 76 Combine like terms: 0 + 76 = 76 22z = 76 Divide each side by '22'. z = 3.454545455 Simplifying z = 3.454545455
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