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Simplifying 8 + -5(a + 2) = -6a + 9 Reorder the terms: 8 + -5(2 + a) = -6a + 9 8 + (2 * -5 + a * -5) = -6a + 9 8 + (-10 + -5a) = -6a + 9 Combine like terms: 8 + -10 = -2 -2 + -5a = -6a + 9 Reorder the terms: -2 + -5a = 9 + -6a Solving -2 + -5a = 9 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -2 + -5a + 6a = 9 + -6a + 6a Combine like terms: -5a + 6a = 1a -2 + 1a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 -2 + 1a = 9 + 0 -2 + 1a = 9 Add '2' to each side of the equation. -2 + 2 + 1a = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = 9 + 2 1a = 9 + 2 Combine like terms: 9 + 2 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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