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Simplifying 8 + -12p + 8 = 6 + -1(-10p + 5) Reorder the terms: 8 + 8 + -12p = 6 + -1(-10p + 5) Combine like terms: 8 + 8 = 16 16 + -12p = 6 + -1(-10p + 5) Reorder the terms: 16 + -12p = 6 + -1(5 + -10p) 16 + -12p = 6 + (5 * -1 + -10p * -1) 16 + -12p = 6 + (-5 + 10p) Combine like terms: 6 + -5 = 1 16 + -12p = 1 + 10p Solving 16 + -12p = 1 + 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. 16 + -12p + -10p = 1 + 10p + -10p Combine like terms: -12p + -10p = -22p 16 + -22p = 1 + 10p + -10p Combine like terms: 10p + -10p = 0 16 + -22p = 1 + 0 16 + -22p = 1 Add '-16' to each side of the equation. 16 + -16 + -22p = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -22p = 1 + -16 -22p = 1 + -16 Combine like terms: 1 + -16 = -15 -22p = -15 Divide each side by '-22'. p = 0.6818181818 Simplifying p = 0.6818181818
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