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Simplifying 0.3(a + -18) = 0.9a Reorder the terms: 0.3(-18 + a) = 0.9a (-18 * 0.3 + a * 0.3) = 0.9a (-5.4 + 0.3a) = 0.9a Solving -5.4 + 0.3a = 0.9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.9a' to each side of the equation. -5.4 + 0.3a + -0.9a = 0.9a + -0.9a Combine like terms: 0.3a + -0.9a = -0.6a -5.4 + -0.6a = 0.9a + -0.9a Combine like terms: 0.9a + -0.9a = 0.0 -5.4 + -0.6a = 0.0 Add '5.4' to each side of the equation. -5.4 + 5.4 + -0.6a = 0.0 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -0.6a = 0.0 + 5.4 -0.6a = 0.0 + 5.4 Combine like terms: 0.0 + 5.4 = 5.4 -0.6a = 5.4 Divide each side by '-0.6'. a = -9 Simplifying a = -9
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