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Simplifying 4a + 2a + 29 = 6 + 3a + 8 Reorder the terms: 29 + 4a + 2a = 6 + 3a + 8 Combine like terms: 4a + 2a = 6a 29 + 6a = 6 + 3a + 8 Reorder the terms: 29 + 6a = 6 + 8 + 3a Combine like terms: 6 + 8 = 14 29 + 6a = 14 + 3a Solving 29 + 6a = 14 + 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. 29 + 6a + -3a = 14 + 3a + -3a Combine like terms: 6a + -3a = 3a 29 + 3a = 14 + 3a + -3a Combine like terms: 3a + -3a = 0 29 + 3a = 14 + 0 29 + 3a = 14 Add '-29' to each side of the equation. 29 + -29 + 3a = 14 + -29 Combine like terms: 29 + -29 = 0 0 + 3a = 14 + -29 3a = 14 + -29 Combine like terms: 14 + -29 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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