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Simplifying 0.6(9a + -12) = -6a + -11 Reorder the terms: 0.6(-12 + 9a) = -6a + -11 (-12 * 0.6 + 9a * 0.6) = -6a + -11 (-7.2 + 5.4a) = -6a + -11 Reorder the terms: -7.2 + 5.4a = -11 + -6a Solving -7.2 + 5.4a = -11 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -7.2 + 5.4a + 6a = -11 + -6a + 6a Combine like terms: 5.4a + 6a = 11.4a -7.2 + 11.4a = -11 + -6a + 6a Combine like terms: -6a + 6a = 0 -7.2 + 11.4a = -11 + 0 -7.2 + 11.4a = -11 Add '7.2' to each side of the equation. -7.2 + 7.2 + 11.4a = -11 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 11.4a = -11 + 7.2 11.4a = -11 + 7.2 Combine like terms: -11 + 7.2 = -3.8 11.4a = -3.8 Divide each side by '11.4'. a = -0.3333333333 Simplifying a = -0.3333333333
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