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Simplifying 109 + -2(3p + -6) = 4(3p + -6) + -8p Reorder the terms: 109 + -2(-6 + 3p) = 4(3p + -6) + -8p 109 + (-6 * -2 + 3p * -2) = 4(3p + -6) + -8p 109 + (12 + -6p) = 4(3p + -6) + -8p Combine like terms: 109 + 12 = 121 121 + -6p = 4(3p + -6) + -8p Reorder the terms: 121 + -6p = 4(-6 + 3p) + -8p 121 + -6p = (-6 * 4 + 3p * 4) + -8p 121 + -6p = (-24 + 12p) + -8p Combine like terms: 12p + -8p = 4p 121 + -6p = -24 + 4p Solving 121 + -6p = -24 + 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. 121 + -6p + -4p = -24 + 4p + -4p Combine like terms: -6p + -4p = -10p 121 + -10p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 121 + -10p = -24 + 0 121 + -10p = -24 Add '-121' to each side of the equation. 121 + -121 + -10p = -24 + -121 Combine like terms: 121 + -121 = 0 0 + -10p = -24 + -121 -10p = -24 + -121 Combine like terms: -24 + -121 = -145 -10p = -145 Divide each side by '-10'. p = 14.5 Simplifying p = 14.5
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