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Simplifying 45 = (10 + a) + (5 + -2a) Remove parenthesis around (10 + a) 45 = 10 + a + (5 + -2a) Remove parenthesis around (5 + -2a) 45 = 10 + a + 5 + -2a Reorder the terms: 45 = 10 + 5 + a + -2a Combine like terms: 10 + 5 = 15 45 = 15 + a + -2a Combine like terms: a + -2a = -1a 45 = 15 + -1a Solving 45 = 15 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 45 + a = 15 + -1a + a Combine like terms: -1a + a = 0 45 + a = 15 + 0 45 + a = 15 Add '-45' to each side of the equation. 45 + -45 + a = 15 + -45 Combine like terms: 45 + -45 = 0 0 + a = 15 + -45 a = 15 + -45 Combine like terms: 15 + -45 = -30 a = -30 Simplifying a = -30
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