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Simplifying 6(a + 2) + -7(a + -1) = 0 Reorder the terms: 6(2 + a) + -7(a + -1) = 0 (2 * 6 + a * 6) + -7(a + -1) = 0 (12 + 6a) + -7(a + -1) = 0 Reorder the terms: 12 + 6a + -7(-1 + a) = 0 12 + 6a + (-1 * -7 + a * -7) = 0 12 + 6a + (7 + -7a) = 0 Reorder the terms: 12 + 7 + 6a + -7a = 0 Combine like terms: 12 + 7 = 19 19 + 6a + -7a = 0 Combine like terms: 6a + -7a = -1a 19 + -1a = 0 Solving 19 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1a = 0 + -19 -1a = 0 + -19 Combine like terms: 0 + -19 = -19 -1a = -19 Divide each side by '-1'. a = 19 Simplifying a = 19
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