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Simplifying 13 + 6a = 8(7 + 6a) + a 13 + 6a = (7 * 8 + 6a * 8) + a 13 + 6a = (56 + 48a) + a Combine like terms: 48a + a = 49a 13 + 6a = 56 + 49a Solving 13 + 6a = 56 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. 13 + 6a + -49a = 56 + 49a + -49a Combine like terms: 6a + -49a = -43a 13 + -43a = 56 + 49a + -49a Combine like terms: 49a + -49a = 0 13 + -43a = 56 + 0 13 + -43a = 56 Add '-13' to each side of the equation. 13 + -13 + -43a = 56 + -13 Combine like terms: 13 + -13 = 0 0 + -43a = 56 + -13 -43a = 56 + -13 Combine like terms: 56 + -13 = 43 -43a = 43 Divide each side by '-43'. a = -1 Simplifying a = -1
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