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Simplifying -3(a + -6) + 4(a + 1) + 7a = 6 Reorder the terms: -3(-6 + a) + 4(a + 1) + 7a = 6 (-6 * -3 + a * -3) + 4(a + 1) + 7a = 6 (18 + -3a) + 4(a + 1) + 7a = 6 Reorder the terms: 18 + -3a + 4(1 + a) + 7a = 6 18 + -3a + (1 * 4 + a * 4) + 7a = 6 18 + -3a + (4 + 4a) + 7a = 6 Reorder the terms: 18 + 4 + -3a + 4a + 7a = 6 Combine like terms: 18 + 4 = 22 22 + -3a + 4a + 7a = 6 Combine like terms: -3a + 4a = 1a 22 + 1a + 7a = 6 Combine like terms: 1a + 7a = 8a 22 + 8a = 6 Solving 22 + 8a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 8a = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 8a = 6 + -22 8a = 6 + -22 Combine like terms: 6 + -22 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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