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Simplifying 8p + -2p + 4 = 10p + -6 Reorder the terms: 4 + 8p + -2p = 10p + -6 Combine like terms: 8p + -2p = 6p 4 + 6p = 10p + -6 Reorder the terms: 4 + 6p = -6 + 10p Solving 4 + 6p = -6 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 4 + 6p + -10p = -6 + 10p + -10p Combine like terms: 6p + -10p = -4p 4 + -4p = -6 + 10p + -10p Combine like terms: 10p + -10p = 0 4 + -4p = -6 + 0 4 + -4p = -6 Add '-4' to each side of the equation. 4 + -4 + -4p = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4p = -6 + -4 -4p = -6 + -4 Combine like terms: -6 + -4 = -10 -4p = -10 Divide each side by '-4'. p = 2.5 Simplifying p = 2.5
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