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Simplifying -3.8a + 3(-3 + 7a) = -11 + 20.7a -3.8a + (-3 * 3 + 7a * 3) = -11 + 20.7a -3.8a + (-9 + 21a) = -11 + 20.7a Reorder the terms: -9 + -3.8a + 21a = -11 + 20.7a Combine like terms: -3.8a + 21a = 17.2a -9 + 17.2a = -11 + 20.7a Solving -9 + 17.2a = -11 + 20.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20.7a' to each side of the equation. -9 + 17.2a + -20.7a = -11 + 20.7a + -20.7a Combine like terms: 17.2a + -20.7a = -3.5a -9 + -3.5a = -11 + 20.7a + -20.7a Combine like terms: 20.7a + -20.7a = 0.0 -9 + -3.5a = -11 + 0.0 -9 + -3.5a = -11 Add '9' to each side of the equation. -9 + 9 + -3.5a = -11 + 9 Combine like terms: -9 + 9 = 0 0 + -3.5a = -11 + 9 -3.5a = -11 + 9 Combine like terms: -11 + 9 = -2 -3.5a = -2 Divide each side by '-3.5'. a = 0.5714285714 Simplifying a = 0.5714285714
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