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Simplifying 8(9z + -6) + 3z = 0 Reorder the terms: 8(-6 + 9z) + 3z = 0 (-6 * 8 + 9z * 8) + 3z = 0 (-48 + 72z) + 3z = 0 Combine like terms: 72z + 3z = 75z -48 + 75z = 0 Solving -48 + 75z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 75z = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 75z = 0 + 48 75z = 0 + 48 Combine like terms: 0 + 48 = 48 75z = 48 Divide each side by '75'. z = 0.64 Simplifying z = 0.64
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