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Simplifying 4(2 + -9a) = 11 + 5a + -4a (2 * 4 + -9a * 4) = 11 + 5a + -4a (8 + -36a) = 11 + 5a + -4a Combine like terms: 5a + -4a = 1a 8 + -36a = 11 + 1a Solving 8 + -36a = 11 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + -36a + -1a = 11 + 1a + -1a Combine like terms: -36a + -1a = -37a 8 + -37a = 11 + 1a + -1a Combine like terms: 1a + -1a = 0 8 + -37a = 11 + 0 8 + -37a = 11 Add '-8' to each side of the equation. 8 + -8 + -37a = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -37a = 11 + -8 -37a = 11 + -8 Combine like terms: 11 + -8 = 3 -37a = 3 Divide each side by '-37'. a = -0.08108108108 Simplifying a = -0.08108108108
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