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Simplifying 6 + 2(5 + -3a) = 8 + 6(2a + -3) 6 + (5 * 2 + -3a * 2) = 8 + 6(2a + -3) 6 + (10 + -6a) = 8 + 6(2a + -3) Combine like terms: 6 + 10 = 16 16 + -6a = 8 + 6(2a + -3) Reorder the terms: 16 + -6a = 8 + 6(-3 + 2a) 16 + -6a = 8 + (-3 * 6 + 2a * 6) 16 + -6a = 8 + (-18 + 12a) Combine like terms: 8 + -18 = -10 16 + -6a = -10 + 12a Solving 16 + -6a = -10 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 16 + -6a + -12a = -10 + 12a + -12a Combine like terms: -6a + -12a = -18a 16 + -18a = -10 + 12a + -12a Combine like terms: 12a + -12a = 0 16 + -18a = -10 + 0 16 + -18a = -10 Add '-16' to each side of the equation. 16 + -16 + -18a = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -18a = -10 + -16 -18a = -10 + -16 Combine like terms: -10 + -16 = -26 -18a = -26 Divide each side by '-18'. a = 1.444444444 Simplifying a = 1.444444444
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