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Simplifying 8 + -4p = 4p + -1(10p + -4) Reorder the terms: 8 + -4p = 4p + -1(-4 + 10p) 8 + -4p = 4p + (-4 * -1 + 10p * -1) 8 + -4p = 4p + (4 + -10p) Reorder the terms: 8 + -4p = 4 + 4p + -10p Combine like terms: 4p + -10p = -6p 8 + -4p = 4 + -6p Solving 8 + -4p = 4 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 8 + -4p + 6p = 4 + -6p + 6p Combine like terms: -4p + 6p = 2p 8 + 2p = 4 + -6p + 6p Combine like terms: -6p + 6p = 0 8 + 2p = 4 + 0 8 + 2p = 4 Add '-8' to each side of the equation. 8 + -8 + 2p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 4 + -8 2p = 4 + -8 Combine like terms: 4 + -8 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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