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Simplifying 150 = 5(5a + 6a) + 5 Combine like terms: 5a + 6a = 11a 150 = 5(11a) + 5 Remove parenthesis around (11a) 150 = 5 * 11a + 5 Multiply 5 * 11 150 = 55a + 5 Reorder the terms: 150 = 5 + 55a Solving 150 = 5 + 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. 150 + -55a = 5 + 55a + -55a Combine like terms: 55a + -55a = 0 150 + -55a = 5 + 0 150 + -55a = 5 Add '-150' to each side of the equation. 150 + -150 + -55a = 5 + -150 Combine like terms: 150 + -150 = 0 0 + -55a = 5 + -150 -55a = 5 + -150 Combine like terms: 5 + -150 = -145 -55a = -145 Divide each side by '-55'. a = 2.636363636 Simplifying a = 2.636363636
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