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Simplifying 8a + (5a + 1) = 8 + -2(a + -3) Reorder the terms: 8a + (1 + 5a) = 8 + -2(a + -3) Remove parenthesis around (1 + 5a) 8a + 1 + 5a = 8 + -2(a + -3) Reorder the terms: 1 + 8a + 5a = 8 + -2(a + -3) Combine like terms: 8a + 5a = 13a 1 + 13a = 8 + -2(a + -3) Reorder the terms: 1 + 13a = 8 + -2(-3 + a) 1 + 13a = 8 + (-3 * -2 + a * -2) 1 + 13a = 8 + (6 + -2a) Combine like terms: 8 + 6 = 14 1 + 13a = 14 + -2a Solving 1 + 13a = 14 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 1 + 13a + 2a = 14 + -2a + 2a Combine like terms: 13a + 2a = 15a 1 + 15a = 14 + -2a + 2a Combine like terms: -2a + 2a = 0 1 + 15a = 14 + 0 1 + 15a = 14 Add '-1' to each side of the equation. 1 + -1 + 15a = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 15a = 14 + -1 15a = 14 + -1 Combine like terms: 14 + -1 = 13 15a = 13 Divide each side by '15'. a = 0.8666666667 Simplifying a = 0.8666666667
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