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Simplifying 13a + -8(a + 1) = 3(a + -3) Reorder the terms: 13a + -8(1 + a) = 3(a + -3) 13a + (1 * -8 + a * -8) = 3(a + -3) 13a + (-8 + -8a) = 3(a + -3) Reorder the terms: -8 + 13a + -8a = 3(a + -3) Combine like terms: 13a + -8a = 5a -8 + 5a = 3(a + -3) Reorder the terms: -8 + 5a = 3(-3 + a) -8 + 5a = (-3 * 3 + a * 3) -8 + 5a = (-9 + 3a) Solving -8 + 5a = -9 + 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. -8 + 5a + -3a = -9 + 3a + -3a Combine like terms: 5a + -3a = 2a -8 + 2a = -9 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 2a = -9 + 0 -8 + 2a = -9 Add '8' to each side of the equation. -8 + 8 + 2a = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = -9 + 8 2a = -9 + 8 Combine like terms: -9 + 8 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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