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Simplifying 7 + -7a + 3 = 2(6 + -4a) Reorder the terms: 7 + 3 + -7a = 2(6 + -4a) Combine like terms: 7 + 3 = 10 10 + -7a = 2(6 + -4a) 10 + -7a = (6 * 2 + -4a * 2) 10 + -7a = (12 + -8a) Solving 10 + -7a = 12 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 10 + -7a + 8a = 12 + -8a + 8a Combine like terms: -7a + 8a = 1a 10 + 1a = 12 + -8a + 8a Combine like terms: -8a + 8a = 0 10 + 1a = 12 + 0 10 + 1a = 12 Add '-10' to each side of the equation. 10 + -10 + 1a = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1a = 12 + -10 1a = 12 + -10 Combine like terms: 12 + -10 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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