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Simplifying 13a + -9(a + 1) = 2(a + -5) Reorder the terms: 13a + -9(1 + a) = 2(a + -5) 13a + (1 * -9 + a * -9) = 2(a + -5) 13a + (-9 + -9a) = 2(a + -5) Reorder the terms: -9 + 13a + -9a = 2(a + -5) Combine like terms: 13a + -9a = 4a -9 + 4a = 2(a + -5) Reorder the terms: -9 + 4a = 2(-5 + a) -9 + 4a = (-5 * 2 + a * 2) -9 + 4a = (-10 + 2a) Solving -9 + 4a = -10 + 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. -9 + 4a + -2a = -10 + 2a + -2a Combine like terms: 4a + -2a = 2a -9 + 2a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + 2a = -10 + 0 -9 + 2a = -10 Add '9' to each side of the equation. -9 + 9 + 2a = -10 + 9 Combine like terms: -9 + 9 = 0 0 + 2a = -10 + 9 2a = -10 + 9 Combine like terms: -10 + 9 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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