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Simplifying 117 = a + (a + 1) + (a + 3) Reorder the terms: 117 = a + (1 + a) + (a + 3) Remove parenthesis around (1 + a) 117 = a + 1 + a + (a + 3) Reorder the terms: 117 = a + 1 + a + (3 + a) Remove parenthesis around (3 + a) 117 = a + 1 + a + 3 + a Reorder the terms: 117 = 1 + 3 + a + a + a Combine like terms: 1 + 3 = 4 117 = 4 + a + a + a Combine like terms: a + a = 2a 117 = 4 + 2a + a Combine like terms: 2a + a = 3a 117 = 4 + 3a Solving 117 = 4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 117 + -3a = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 117 + -3a = 4 + 0 117 + -3a = 4 Add '-117' to each side of the equation. 117 + -117 + -3a = 4 + -117 Combine like terms: 117 + -117 = 0 0 + -3a = 4 + -117 -3a = 4 + -117 Combine like terms: 4 + -117 = -113 -3a = -113 Divide each side by '-3'. a = 37.66666667 Simplifying a = 37.66666667
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