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Simplifying 2(4a + -2) = 0.6(9 + -48a) Reorder the terms: 2(-2 + 4a) = 0.6(9 + -48a) (-2 * 2 + 4a * 2) = 0.6(9 + -48a) (-4 + 8a) = 0.6(9 + -48a) -4 + 8a = (9 * 0.6 + -48a * 0.6) -4 + 8a = (5.4 + -28.8a) Solving -4 + 8a = 5.4 + -28.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28.8a' to each side of the equation. -4 + 8a + 28.8a = 5.4 + -28.8a + 28.8a Combine like terms: 8a + 28.8a = 36.8a -4 + 36.8a = 5.4 + -28.8a + 28.8a Combine like terms: -28.8a + 28.8a = 0.0 -4 + 36.8a = 5.4 + 0.0 -4 + 36.8a = 5.4 Add '4' to each side of the equation. -4 + 4 + 36.8a = 5.4 + 4 Combine like terms: -4 + 4 = 0 0 + 36.8a = 5.4 + 4 36.8a = 5.4 + 4 Combine like terms: 5.4 + 4 = 9.4 36.8a = 9.4 Divide each side by '36.8'. a = 0.2554347826 Simplifying a = 0.2554347826
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