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Simplifying (6p3 + 4p2 + -5) + (4p3 + -4p + a) = 0 Reorder the terms: (-5 + 4p2 + 6p3) + (4p3 + -4p + a) = 0 Remove parenthesis around (-5 + 4p2 + 6p3) -5 + 4p2 + 6p3 + (4p3 + -4p + a) = 0 Reorder the terms: -5 + 4p2 + 6p3 + (a + -4p + 4p3) = 0 Remove parenthesis around (a + -4p + 4p3) -5 + 4p2 + 6p3 + a + -4p + 4p3 = 0 Reorder the terms: -5 + a + -4p + 4p2 + 6p3 + 4p3 = 0 Combine like terms: 6p3 + 4p3 = 10p3 -5 + a + -4p + 4p2 + 10p3 = 0 Solving -5 + a + -4p + 4p2 + 10p3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + a + -4p + 4p2 + 5 + 10p3 = 0 + 5 Reorder the terms: -5 + 5 + a + -4p + 4p2 + 10p3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a + -4p + 4p2 + 10p3 = 0 + 5 a + -4p + 4p2 + 10p3 = 0 + 5 Combine like terms: 0 + 5 = 5 a + -4p + 4p2 + 10p3 = 5 Add '4p' to each side of the equation. a + -4p + 4p2 + 4p + 10p3 = 5 + 4p Reorder the terms: a + -4p + 4p + 4p2 + 10p3 = 5 + 4p Combine like terms: -4p + 4p = 0 a + 0 + 4p2 + 10p3 = 5 + 4p a + 4p2 + 10p3 = 5 + 4p Add '-4p2' to each side of the equation. a + 4p2 + -4p2 + 10p3 = 5 + 4p + -4p2 Combine like terms: 4p2 + -4p2 = 0 a + 0 + 10p3 = 5 + 4p + -4p2 a + 10p3 = 5 + 4p + -4p2 Add '-10p3' to each side of the equation. a + 10p3 + -10p3 = 5 + 4p + -4p2 + -10p3 Combine like terms: 10p3 + -10p3 = 0 a + 0 = 5 + 4p + -4p2 + -10p3 a = 5 + 4p + -4p2 + -10p3 Simplifying a = 5 + 4p + -4p2 + -10p3
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