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Simplifying 5 + 2(3a + 3a) = 2a + 75 Combine like terms: 3a + 3a = 6a 5 + 2(6a) = 2a + 75 Remove parenthesis around (6a) 5 + 2 * 6a = 2a + 75 Multiply 2 * 6 5 + 12a = 2a + 75 Reorder the terms: 5 + 12a = 75 + 2a Solving 5 + 12a = 75 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5 + 12a + -2a = 75 + 2a + -2a Combine like terms: 12a + -2a = 10a 5 + 10a = 75 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 10a = 75 + 0 5 + 10a = 75 Add '-5' to each side of the equation. 5 + -5 + 10a = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 10a = 75 + -5 10a = 75 + -5 Combine like terms: 75 + -5 = 70 10a = 70 Divide each side by '10'. a = 7 Simplifying a = 7
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