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Simplifying -111 + -5a = 6(5a + 4) Reorder the terms: -111 + -5a = 6(4 + 5a) -111 + -5a = (4 * 6 + 5a * 6) -111 + -5a = (24 + 30a) Solving -111 + -5a = 24 + 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. -111 + -5a + -30a = 24 + 30a + -30a Combine like terms: -5a + -30a = -35a -111 + -35a = 24 + 30a + -30a Combine like terms: 30a + -30a = 0 -111 + -35a = 24 + 0 -111 + -35a = 24 Add '111' to each side of the equation. -111 + 111 + -35a = 24 + 111 Combine like terms: -111 + 111 = 0 0 + -35a = 24 + 111 -35a = 24 + 111 Combine like terms: 24 + 111 = 135 -35a = 135 Divide each side by '-35'. a = -3.857142857 Simplifying a = -3.857142857
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