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Simplifying 5a + 7 + -2a = -1a + 47 Reorder the terms: 7 + 5a + -2a = -1a + 47 Combine like terms: 5a + -2a = 3a 7 + 3a = -1a + 47 Reorder the terms: 7 + 3a = 47 + -1a Solving 7 + 3a = 47 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + 3a + a = 47 + -1a + a Combine like terms: 3a + a = 4a 7 + 4a = 47 + -1a + a Combine like terms: -1a + a = 0 7 + 4a = 47 + 0 7 + 4a = 47 Add '-7' to each side of the equation. 7 + -7 + 4a = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 47 + -7 4a = 47 + -7 Combine like terms: 47 + -7 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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