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Simplifying 7p + 10 = 7(-8p + 4) + 6(10 + 4p) Reorder the terms: 10 + 7p = 7(-8p + 4) + 6(10 + 4p) Reorder the terms: 10 + 7p = 7(4 + -8p) + 6(10 + 4p) 10 + 7p = (4 * 7 + -8p * 7) + 6(10 + 4p) 10 + 7p = (28 + -56p) + 6(10 + 4p) 10 + 7p = 28 + -56p + (10 * 6 + 4p * 6) 10 + 7p = 28 + -56p + (60 + 24p) Reorder the terms: 10 + 7p = 28 + 60 + -56p + 24p Combine like terms: 28 + 60 = 88 10 + 7p = 88 + -56p + 24p Combine like terms: -56p + 24p = -32p 10 + 7p = 88 + -32p Solving 10 + 7p = 88 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 10 + 7p + 32p = 88 + -32p + 32p Combine like terms: 7p + 32p = 39p 10 + 39p = 88 + -32p + 32p Combine like terms: -32p + 32p = 0 10 + 39p = 88 + 0 10 + 39p = 88 Add '-10' to each side of the equation. 10 + -10 + 39p = 88 + -10 Combine like terms: 10 + -10 = 0 0 + 39p = 88 + -10 39p = 88 + -10 Combine like terms: 88 + -10 = 78 39p = 78 Divide each side by '39'. p = 2 Simplifying p = 2
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