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Simplifying -7a + 8 + 11a = 3(2a + -1a) Reorder the terms: 8 + -7a + 11a = 3(2a + -1a) Combine like terms: -7a + 11a = 4a 8 + 4a = 3(2a + -1a) Combine like terms: 2a + -1a = 1a 8 + 4a = 3(1a) Remove parenthesis around (1a) 8 + 4a = 3 * 1a Multiply 3 * 1 8 + 4a = 3a Solving 8 + 4a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 8 + 4a + -3a = 3a + -3a Combine like terms: 4a + -3a = 1a 8 + 1a = 3a + -3a Combine like terms: 3a + -3a = 0 8 + 1a = 0 Add '-8' to each side of the equation. 8 + -8 + 1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 0 + -8 1a = 0 + -8 Combine like terms: 0 + -8 = -8 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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