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Simplifying 16.6667(12z + -18) = 2z + -3 Reorder the terms: 16.6667(-18 + 12z) = 2z + -3 (-18 * 16.6667 + 12z * 16.6667) = 2z + -3 (-300.0006 + 200.0004z) = 2z + -3 Reorder the terms: -300.0006 + 200.0004z = -3 + 2z Solving -300.0006 + 200.0004z = -3 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -300.0006 + 200.0004z + -2z = -3 + 2z + -2z Combine like terms: 200.0004z + -2z = 198.0004z -300.0006 + 198.0004z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 -300.0006 + 198.0004z = -3 + 0 -300.0006 + 198.0004z = -3 Add '300.0006' to each side of the equation. -300.0006 + 300.0006 + 198.0004z = -3 + 300.0006 Combine like terms: -300.0006 + 300.0006 = 0.0000 0.0000 + 198.0004z = -3 + 300.0006 198.0004z = -3 + 300.0006 Combine like terms: -3 + 300.0006 = 297.0006 198.0004z = 297.0006 Divide each side by '198.0004'. z = 1.5 Simplifying z = 1.5
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