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Simplifying 4a + 29 = a + 47 Reorder the terms: 29 + 4a = a + 47 Reorder the terms: 29 + 4a = 47 + a Solving 29 + 4a = 47 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 29 + 4a + -1a = 47 + a + -1a Combine like terms: 4a + -1a = 3a 29 + 3a = 47 + a + -1a Combine like terms: a + -1a = 0 29 + 3a = 47 + 0 29 + 3a = 47 Add '-29' to each side of the equation. 29 + -29 + 3a = 47 + -29 Combine like terms: 29 + -29 = 0 0 + 3a = 47 + -29 3a = 47 + -29 Combine like terms: 47 + -29 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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