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Simplifying 2a + -3 = 8(a + 1) + 13a + 9 Reorder the terms: -3 + 2a = 8(a + 1) + 13a + 9 Reorder the terms: -3 + 2a = 8(1 + a) + 13a + 9 -3 + 2a = (1 * 8 + a * 8) + 13a + 9 -3 + 2a = (8 + 8a) + 13a + 9 Reorder the terms: -3 + 2a = 8 + 9 + 8a + 13a Combine like terms: 8 + 9 = 17 -3 + 2a = 17 + 8a + 13a Combine like terms: 8a + 13a = 21a -3 + 2a = 17 + 21a Solving -3 + 2a = 17 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -3 + 2a + -21a = 17 + 21a + -21a Combine like terms: 2a + -21a = -19a -3 + -19a = 17 + 21a + -21a Combine like terms: 21a + -21a = 0 -3 + -19a = 17 + 0 -3 + -19a = 17 Add '3' to each side of the equation. -3 + 3 + -19a = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -19a = 17 + 3 -19a = 17 + 3 Combine like terms: 17 + 3 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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