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Simplifying -7 + -1p = 7(1 + 4p) + 10p -7 + -1p = (1 * 7 + 4p * 7) + 10p -7 + -1p = (7 + 28p) + 10p Combine like terms: 28p + 10p = 38p -7 + -1p = 7 + 38p Solving -7 + -1p = 7 + 38p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38p' to each side of the equation. -7 + -1p + -38p = 7 + 38p + -38p Combine like terms: -1p + -38p = -39p -7 + -39p = 7 + 38p + -38p Combine like terms: 38p + -38p = 0 -7 + -39p = 7 + 0 -7 + -39p = 7 Add '7' to each side of the equation. -7 + 7 + -39p = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -39p = 7 + 7 -39p = 7 + 7 Combine like terms: 7 + 7 = 14 -39p = 14 Divide each side by '-39'. p = -0.358974359 Simplifying p = -0.358974359
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