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Simplifying 10 + 2(4 + -6a) = -2(3a + 6) 10 + (4 * 2 + -6a * 2) = -2(3a + 6) 10 + (8 + -12a) = -2(3a + 6) Combine like terms: 10 + 8 = 18 18 + -12a = -2(3a + 6) Reorder the terms: 18 + -12a = -2(6 + 3a) 18 + -12a = (6 * -2 + 3a * -2) 18 + -12a = (-12 + -6a) Solving 18 + -12a = -12 + -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. 18 + -12a + 6a = -12 + -6a + 6a Combine like terms: -12a + 6a = -6a 18 + -6a = -12 + -6a + 6a Combine like terms: -6a + 6a = 0 18 + -6a = -12 + 0 18 + -6a = -12 Add '-18' to each side of the equation. 18 + -18 + -6a = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -6a = -12 + -18 -6a = -12 + -18 Combine like terms: -12 + -18 = -30 -6a = -30 Divide each side by '-6'. a = 5 Simplifying a = 5
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