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Simplifying -11 + -5a = 6(5a + 24) Reorder the terms: -11 + -5a = 6(24 + 5a) -11 + -5a = (24 * 6 + 5a * 6) -11 + -5a = (144 + 30a) Solving -11 + -5a = 144 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -11 + -5a + -30a = 144 + 30a + -30a Combine like terms: -5a + -30a = -35a -11 + -35a = 144 + 30a + -30a Combine like terms: 30a + -30a = 0 -11 + -35a = 144 + 0 -11 + -35a = 144 Add '11' to each side of the equation. -11 + 11 + -35a = 144 + 11 Combine like terms: -11 + 11 = 0 0 + -35a = 144 + 11 -35a = 144 + 11 Combine like terms: 144 + 11 = 155 -35a = 155 Divide each side by '-35'. a = -4.428571429 Simplifying a = -4.428571429
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