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Simplifying 0.17(12z + -18) = 2z + -3 Reorder the terms: 0.17(-18 + 12z) = 2z + -3 (-18 * 0.17 + 12z * 0.17) = 2z + -3 (-3.06 + 2.04z) = 2z + -3 Reorder the terms: -3.06 + 2.04z = -3 + 2z Solving -3.06 + 2.04z = -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. -3.06 + 2.04z + -2z = -3 + 2z + -2z Combine like terms: 2.04z + -2z = 0.04z -3.06 + 0.04z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 -3.06 + 0.04z = -3 + 0 -3.06 + 0.04z = -3 Add '3.06' to each side of the equation. -3.06 + 3.06 + 0.04z = -3 + 3.06 Combine like terms: -3.06 + 3.06 = 0.00 0.00 + 0.04z = -3 + 3.06 0.04z = -3 + 3.06 Combine like terms: -3 + 3.06 = 0.06 0.04z = 0.06 Divide each side by '0.04'. z = 1.5 Simplifying z = 1.5
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