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Simplifying 5p + 3a + 47 = 13p + 4a Reorder the terms: 47 + 3a + 5p = 13p + 4a Reorder the terms: 47 + 3a + 5p = 4a + 13p Solving 47 + 3a + 5p = 4a + 13p Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 47 + 3a + -4a + 5p = 4a + -4a + 13p Combine like terms: 3a + -4a = -1a 47 + -1a + 5p = 4a + -4a + 13p Combine like terms: 4a + -4a = 0 47 + -1a + 5p = 0 + 13p 47 + -1a + 5p = 13p Add '-47' to each side of the equation. 47 + -1a + -47 + 5p = -47 + 13p Reorder the terms: 47 + -47 + -1a + 5p = -47 + 13p Combine like terms: 47 + -47 = 0 0 + -1a + 5p = -47 + 13p -1a + 5p = -47 + 13p Add '-5p' to each side of the equation. -1a + 5p + -5p = -47 + 13p + -5p Combine like terms: 5p + -5p = 0 -1a + 0 = -47 + 13p + -5p -1a = -47 + 13p + -5p Combine like terms: 13p + -5p = 8p -1a = -47 + 8p Divide each side by '-1'. a = 47 + -8p Simplifying a = 47 + -8p
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