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Simplifying 14a + -9(a + 1) = 2(a + -5) Reorder the terms: 14a + -9(1 + a) = 2(a + -5) 14a + (1 * -9 + a * -9) = 2(a + -5) 14a + (-9 + -9a) = 2(a + -5) Reorder the terms: -9 + 14a + -9a = 2(a + -5) Combine like terms: 14a + -9a = 5a -9 + 5a = 2(a + -5) Reorder the terms: -9 + 5a = 2(-5 + a) -9 + 5a = (-5 * 2 + a * 2) -9 + 5a = (-10 + 2a) Solving -9 + 5a = -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 + 5a + -2a = -10 + 2a + -2a Combine like terms: 5a + -2a = 3a -9 + 3a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + 3a = -10 + 0 -9 + 3a = -10 Add '9' to each side of the equation. -9 + 9 + 3a = -10 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = -10 + 9 3a = -10 + 9 Combine like terms: -10 + 9 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333
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