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Simplifying 7a + -47 = 5a + -29 Reorder the terms: -47 + 7a = 5a + -29 Reorder the terms: -47 + 7a = -29 + 5a Solving -47 + 7a = -29 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -47 + 7a + -5a = -29 + 5a + -5a Combine like terms: 7a + -5a = 2a -47 + 2a = -29 + 5a + -5a Combine like terms: 5a + -5a = 0 -47 + 2a = -29 + 0 -47 + 2a = -29 Add '47' to each side of the equation. -47 + 47 + 2a = -29 + 47 Combine like terms: -47 + 47 = 0 0 + 2a = -29 + 47 2a = -29 + 47 Combine like terms: -29 + 47 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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