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Simplifying 0.01(12z + -18) = 2z + -3 Reorder the terms: 0.01(-18 + 12z) = 2z + -3 (-18 * 0.01 + 12z * 0.01) = 2z + -3 (-0.18 + 0.12z) = 2z + -3 Reorder the terms: -0.18 + 0.12z = -3 + 2z Solving -0.18 + 0.12z = -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. -0.18 + 0.12z + -2z = -3 + 2z + -2z Combine like terms: 0.12z + -2z = -1.88z -0.18 + -1.88z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 -0.18 + -1.88z = -3 + 0 -0.18 + -1.88z = -3 Add '0.18' to each side of the equation. -0.18 + 0.18 + -1.88z = -3 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + -1.88z = -3 + 0.18 -1.88z = -3 + 0.18 Combine like terms: -3 + 0.18 = -2.82 -1.88z = -2.82 Divide each side by '-1.88'. z = 1.5 Simplifying z = 1.5
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