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Simplifying 6(3a + 4) = -5 + 5(11a + -9) Reorder the terms: 6(4 + 3a) = -5 + 5(11a + -9) (4 * 6 + 3a * 6) = -5 + 5(11a + -9) (24 + 18a) = -5 + 5(11a + -9) Reorder the terms: 24 + 18a = -5 + 5(-9 + 11a) 24 + 18a = -5 + (-9 * 5 + 11a * 5) 24 + 18a = -5 + (-45 + 55a) Combine like terms: -5 + -45 = -50 24 + 18a = -50 + 55a Solving 24 + 18a = -50 + 55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55a' to each side of the equation. 24 + 18a + -55a = -50 + 55a + -55a Combine like terms: 18a + -55a = -37a 24 + -37a = -50 + 55a + -55a Combine like terms: 55a + -55a = 0 24 + -37a = -50 + 0 24 + -37a = -50 Add '-24' to each side of the equation. 24 + -24 + -37a = -50 + -24 Combine like terms: 24 + -24 = 0 0 + -37a = -50 + -24 -37a = -50 + -24 Combine like terms: -50 + -24 = -74 -37a = -74 Divide each side by '-37'. a = 2 Simplifying a = 2
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