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Simplifying 16a + -9(a + 1) = 5(a + -2) Reorder the terms: 16a + -9(1 + a) = 5(a + -2) 16a + (1 * -9 + a * -9) = 5(a + -2) 16a + (-9 + -9a) = 5(a + -2) Reorder the terms: -9 + 16a + -9a = 5(a + -2) Combine like terms: 16a + -9a = 7a -9 + 7a = 5(a + -2) Reorder the terms: -9 + 7a = 5(-2 + a) -9 + 7a = (-2 * 5 + a * 5) -9 + 7a = (-10 + 5a) Solving -9 + 7a = -10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -9 + 7a + -5a = -10 + 5a + -5a Combine like terms: 7a + -5a = 2a -9 + 2a = -10 + 5a + -5a Combine like terms: 5a + -5a = 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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