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Simplifying 0.16667(12z + -18) = 2z + -3 Reorder the terms: 0.16667(-18 + 12z) = 2z + -3 (-18 * 0.16667 + 12z * 0.16667) = 2z + -3 (-3.00006 + 2.00004z) = 2z + -3 Reorder the terms: -3.00006 + 2.00004z = -3 + 2z Solving -3.00006 + 2.00004z = -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. -3.00006 + 2.00004z + -2z = -3 + 2z + -2z Combine like terms: 2.00004z + -2z = 0.00004z -3.00006 + 0.00004z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 -3.00006 + 0.00004z = -3 + 0 -3.00006 + 0.00004z = -3 Add '3.00006' to each side of the equation. -3.00006 + 3.00006 + 0.00004z = -3 + 3.00006 Combine like terms: -3.00006 + 3.00006 = 0.00000 0.00000 + 0.00004z = -3 + 3.00006 0.00004z = -3 + 3.00006 Combine like terms: -3 + 3.00006 = 0.00006 0.00004z = 0.00006 Divide each side by '0.00004'. z = 1.5 Simplifying z = 1.5
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