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Simplifying 4(a + 6) + 6 = 2(a + -5) Reorder the terms: 4(6 + a) + 6 = 2(a + -5) (6 * 4 + a * 4) + 6 = 2(a + -5) (24 + 4a) + 6 = 2(a + -5) Reorder the terms: 24 + 6 + 4a = 2(a + -5) Combine like terms: 24 + 6 = 30 30 + 4a = 2(a + -5) Reorder the terms: 30 + 4a = 2(-5 + a) 30 + 4a = (-5 * 2 + a * 2) 30 + 4a = (-10 + 2a) Solving 30 + 4a = -10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 30 + 4a + -2a = -10 + 2a + -2a Combine like terms: 4a + -2a = 2a 30 + 2a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 2a = -10 + 0 30 + 2a = -10 Add '-30' to each side of the equation. 30 + -30 + 2a = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 2a = -10 + -30 2a = -10 + -30 Combine like terms: -10 + -30 = -40 2a = -40 Divide each side by '2'. a = -20 Simplifying a = -20
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