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Simplifying (2a + -58) + (a + 52) = 180 Reorder the terms: (-58 + 2a) + (a + 52) = 180 Remove parenthesis around (-58 + 2a) -58 + 2a + (a + 52) = 180 Reorder the terms: -58 + 2a + (52 + a) = 180 Remove parenthesis around (52 + a) -58 + 2a + 52 + a = 180 Reorder the terms: -58 + 52 + 2a + a = 180 Combine like terms: -58 + 52 = -6 -6 + 2a + a = 180 Combine like terms: 2a + a = 3a -6 + 3a = 180 Solving -6 + 3a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3a = 180 + 6 Combine like terms: -6 + 6 = 0 0 + 3a = 180 + 6 3a = 180 + 6 Combine like terms: 180 + 6 = 186 3a = 186 Divide each side by '3'. a = 62 Simplifying a = 62
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