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Simplifying 10 + -2(3p + -8) = 4(3p + 4) + -8p Reorder the terms: 10 + -2(-8 + 3p) = 4(3p + 4) + -8p 10 + (-8 * -2 + 3p * -2) = 4(3p + 4) + -8p 10 + (16 + -6p) = 4(3p + 4) + -8p Combine like terms: 10 + 16 = 26 26 + -6p = 4(3p + 4) + -8p Reorder the terms: 26 + -6p = 4(4 + 3p) + -8p 26 + -6p = (4 * 4 + 3p * 4) + -8p 26 + -6p = (16 + 12p) + -8p Combine like terms: 12p + -8p = 4p 26 + -6p = 16 + 4p Solving 26 + -6p = 16 + 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. 26 + -6p + -4p = 16 + 4p + -4p Combine like terms: -6p + -4p = -10p 26 + -10p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 26 + -10p = 16 + 0 26 + -10p = 16 Add '-26' to each side of the equation. 26 + -26 + -10p = 16 + -26 Combine like terms: 26 + -26 = 0 0 + -10p = 16 + -26 -10p = 16 + -26 Combine like terms: 16 + -26 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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