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