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Simplifying -11 + -5a = 6(5a + 40) Reorder the terms: -11 + -5a = 6(40 + 5a) -11 + -5a = (40 * 6 + 5a * 6) -11 + -5a = (240 + 30a) Solving -11 + -5a = 240 + 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 = 240 + 30a + -30a Combine like terms: -5a + -30a = -35a -11 + -35a = 240 + 30a + -30a Combine like terms: 30a + -30a = 0 -11 + -35a = 240 + 0 -11 + -35a = 240 Add '11' to each side of the equation. -11 + 11 + -35a = 240 + 11 Combine like terms: -11 + 11 = 0 0 + -35a = 240 + 11 -35a = 240 + 11 Combine like terms: 240 + 11 = 251 -35a = 251 Divide each side by '-35'. a = -7.171428571 Simplifying a = -7.171428571
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