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Simplifying (a + -1) + (a + -7) + 2a = 180 Reorder the terms: (-1 + a) + (a + -7) + 2a = 180 Remove parenthesis around (-1 + a) -1 + a + (a + -7) + 2a = 180 Reorder the terms: -1 + a + (-7 + a) + 2a = 180 Remove parenthesis around (-7 + a) -1 + a + -7 + a + 2a = 180 Reorder the terms: -1 + -7 + a + a + 2a = 180 Combine like terms: -1 + -7 = -8 -8 + a + a + 2a = 180 Combine like terms: a + a = 2a -8 + 2a + 2a = 180 Combine like terms: 2a + 2a = 4a -8 + 4a = 180 Solving -8 + 4a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4a = 180 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = 180 + 8 4a = 180 + 8 Combine like terms: 180 + 8 = 188 4a = 188 Divide each side by '4'. a = 47 Simplifying a = 47
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