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Simplifying 5(1 + -1p) + -1p = -6p + 5(7 + 2p) (1 * 5 + -1p * 5) + -1p = -6p + 5(7 + 2p) (5 + -5p) + -1p = -6p + 5(7 + 2p) Combine like terms: -5p + -1p = -6p 5 + -6p = -6p + 5(7 + 2p) 5 + -6p = -6p + (7 * 5 + 2p * 5) 5 + -6p = -6p + (35 + 10p) Reorder the terms: 5 + -6p = 35 + -6p + 10p Combine like terms: -6p + 10p = 4p 5 + -6p = 35 + 4p Solving 5 + -6p = 35 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 5 + -6p + -4p = 35 + 4p + -4p Combine like terms: -6p + -4p = -10p 5 + -10p = 35 + 4p + -4p Combine like terms: 4p + -4p = 0 5 + -10p = 35 + 0 5 + -10p = 35 Add '-5' to each side of the equation. 5 + -5 + -10p = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -10p = 35 + -5 -10p = 35 + -5 Combine like terms: 35 + -5 = 30 -10p = 30 Divide each side by '-10'. p = -3 Simplifying p = -3
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