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Simplifying 10p + 2p = 8(3p + 6) + 2(-2 + 5p) Combine like terms: 10p + 2p = 12p 12p = 8(3p + 6) + 2(-2 + 5p) Reorder the terms: 12p = 8(6 + 3p) + 2(-2 + 5p) 12p = (6 * 8 + 3p * 8) + 2(-2 + 5p) 12p = (48 + 24p) + 2(-2 + 5p) 12p = 48 + 24p + (-2 * 2 + 5p * 2) 12p = 48 + 24p + (-4 + 10p) Reorder the terms: 12p = 48 + -4 + 24p + 10p Combine like terms: 48 + -4 = 44 12p = 44 + 24p + 10p Combine like terms: 24p + 10p = 34p 12p = 44 + 34p Solving 12p = 44 + 34p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-34p' to each side of the equation. 12p + -34p = 44 + 34p + -34p Combine like terms: 12p + -34p = -22p -22p = 44 + 34p + -34p Combine like terms: 34p + -34p = 0 -22p = 44 + 0 -22p = 44 Divide each side by '-22'. p = -2 Simplifying p = -2
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