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Simplifying 116 = a + (a + -7) + (a + -13) Reorder the terms: 116 = a + (-7 + a) + (a + -13) Remove parenthesis around (-7 + a) 116 = a + -7 + a + (a + -13) Reorder the terms: 116 = a + -7 + a + (-13 + a) Remove parenthesis around (-13 + a) 116 = a + -7 + a + -13 + a Reorder the terms: 116 = -7 + -13 + a + a + a Combine like terms: -7 + -13 = -20 116 = -20 + a + a + a Combine like terms: a + a = 2a 116 = -20 + 2a + a Combine like terms: 2a + a = 3a 116 = -20 + 3a Solving 116 = -20 + 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. 116 + -3a = -20 + 3a + -3a Combine like terms: 3a + -3a = 0 116 + -3a = -20 + 0 116 + -3a = -20 Add '-116' to each side of the equation. 116 + -116 + -3a = -20 + -116 Combine like terms: 116 + -116 = 0 0 + -3a = -20 + -116 -3a = -20 + -116 Combine like terms: -20 + -116 = -136 -3a = -136 Divide each side by '-3'. a = 45.33333333 Simplifying a = 45.33333333
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