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Simplifying a + (a + 10) + (a + -15) = 46 Reorder the terms: a + (10 + a) + (a + -15) = 46 Remove parenthesis around (10 + a) a + 10 + a + (a + -15) = 46 Reorder the terms: a + 10 + a + (-15 + a) = 46 Remove parenthesis around (-15 + a) a + 10 + a + -15 + a = 46 Reorder the terms: 10 + -15 + a + a + a = 46 Combine like terms: 10 + -15 = -5 -5 + a + a + a = 46 Combine like terms: a + a = 2a -5 + 2a + a = 46 Combine like terms: 2a + a = 3a -5 + 3a = 46 Solving -5 + 3a = 46 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3a = 46 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 46 + 5 3a = 46 + 5 Combine like terms: 46 + 5 = 51 3a = 51 Divide each side by '3'. a = 17 Simplifying a = 17
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