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Simplifying 5a + 13 = a + -47 Reorder the terms: 13 + 5a = a + -47 Reorder the terms: 13 + 5a = -47 + a Solving 13 + 5a = -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. 13 + 5a + -1a = -47 + a + -1a Combine like terms: 5a + -1a = 4a 13 + 4a = -47 + a + -1a Combine like terms: a + -1a = 0 13 + 4a = -47 + 0 13 + 4a = -47 Add '-13' to each side of the equation. 13 + -13 + 4a = -47 + -13 Combine like terms: 13 + -13 = 0 0 + 4a = -47 + -13 4a = -47 + -13 Combine like terms: -47 + -13 = -60 4a = -60 Divide each side by '4'. a = -15 Simplifying a = -15
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