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Simplifying 0.16(12z + -18) = 2z + -3 Reorder the terms: 0.16(-18 + 12z) = 2z + -3 (-18 * 0.16 + 12z * 0.16) = 2z + -3 (-2.88 + 1.92z) = 2z + -3 Reorder the terms: -2.88 + 1.92z = -3 + 2z Solving -2.88 + 1.92z = -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. -2.88 + 1.92z + -2z = -3 + 2z + -2z Combine like terms: 1.92z + -2z = -0.08z -2.88 + -0.08z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 -2.88 + -0.08z = -3 + 0 -2.88 + -0.08z = -3 Add '2.88' to each side of the equation. -2.88 + 2.88 + -0.08z = -3 + 2.88 Combine like terms: -2.88 + 2.88 = 0.00 0.00 + -0.08z = -3 + 2.88 -0.08z = -3 + 2.88 Combine like terms: -3 + 2.88 = -0.12 -0.08z = -0.12 Divide each side by '-0.08'. z = 1.5 Simplifying z = 1.5
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