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Simplifying 2 + 5(2 + 4a) = 8a + 6(a + -3) 2 + (2 * 5 + 4a * 5) = 8a + 6(a + -3) 2 + (10 + 20a) = 8a + 6(a + -3) Combine like terms: 2 + 10 = 12 12 + 20a = 8a + 6(a + -3) Reorder the terms: 12 + 20a = 8a + 6(-3 + a) 12 + 20a = 8a + (-3 * 6 + a * 6) 12 + 20a = 8a + (-18 + 6a) Reorder the terms: 12 + 20a = -18 + 8a + 6a Combine like terms: 8a + 6a = 14a 12 + 20a = -18 + 14a Solving 12 + 20a = -18 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 12 + 20a + -14a = -18 + 14a + -14a Combine like terms: 20a + -14a = 6a 12 + 6a = -18 + 14a + -14a Combine like terms: 14a + -14a = 0 12 + 6a = -18 + 0 12 + 6a = -18 Add '-12' to each side of the equation. 12 + -12 + 6a = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 6a = -18 + -12 6a = -18 + -12 Combine like terms: -18 + -12 = -30 6a = -30 Divide each side by '6'. a = -5 Simplifying a = -5
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