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Simplifying 0.4(z + -18) + -30 = 6 Reorder the terms: 0.4(-18 + z) + -30 = 6 (-18 * 0.4 + z * 0.4) + -30 = 6 (-7.2 + 0.4z) + -30 = 6 Reorder the terms: -7.2 + -30 + 0.4z = 6 Combine like terms: -7.2 + -30 = -37.2 -37.2 + 0.4z = 6 Solving -37.2 + 0.4z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '37.2' to each side of the equation. -37.2 + 37.2 + 0.4z = 6 + 37.2 Combine like terms: -37.2 + 37.2 = 0.0 0.0 + 0.4z = 6 + 37.2 0.4z = 6 + 37.2 Combine like terms: 6 + 37.2 = 43.2 0.4z = 43.2 Divide each side by '0.4'. z = 108 Simplifying z = 108
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