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Simplifying 6 + 2(a + 3) = 10 + 2(2a + 12) Reorder the terms: 6 + 2(3 + a) = 10 + 2(2a + 12) 6 + (3 * 2 + a * 2) = 10 + 2(2a + 12) 6 + (6 + 2a) = 10 + 2(2a + 12) Combine like terms: 6 + 6 = 12 12 + 2a = 10 + 2(2a + 12) Reorder the terms: 12 + 2a = 10 + 2(12 + 2a) 12 + 2a = 10 + (12 * 2 + 2a * 2) 12 + 2a = 10 + (24 + 4a) Combine like terms: 10 + 24 = 34 12 + 2a = 34 + 4a Solving 12 + 2a = 34 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 12 + 2a + -4a = 34 + 4a + -4a Combine like terms: 2a + -4a = -2a 12 + -2a = 34 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + -2a = 34 + 0 12 + -2a = 34 Add '-12' to each side of the equation. 12 + -12 + -2a = 34 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 34 + -12 -2a = 34 + -12 Combine like terms: 34 + -12 = 22 -2a = 22 Divide each side by '-2'. a = -11 Simplifying a = -11
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