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Simplifying (3a + 14) + (5a + -1) = (4a + -8) Reorder the terms: (14 + 3a) + (5a + -1) = (4a + -8) Remove parenthesis around (14 + 3a) 14 + 3a + (5a + -1) = (4a + -8) Reorder the terms: 14 + 3a + (-1 + 5a) = (4a + -8) Remove parenthesis around (-1 + 5a) 14 + 3a + -1 + 5a = (4a + -8) Reorder the terms: 14 + -1 + 3a + 5a = (4a + -8) Combine like terms: 14 + -1 = 13 13 + 3a + 5a = (4a + -8) Combine like terms: 3a + 5a = 8a 13 + 8a = (4a + -8) Reorder the terms: 13 + 8a = (-8 + 4a) Remove parenthesis around (-8 + 4a) 13 + 8a = -8 + 4a Solving 13 + 8a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 13 + 8a + -4a = -8 + 4a + -4a Combine like terms: 8a + -4a = 4a 13 + 4a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 13 + 4a = -8 + 0 13 + 4a = -8 Add '-13' to each side of the equation. 13 + -13 + 4a = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 4a = -8 + -13 4a = -8 + -13 Combine like terms: -8 + -13 = -21 4a = -21 Divide each side by '4'. a = -5.25 Simplifying a = -5.25
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