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Simplifying -12p + -5(5 + -4p) = 5(p + -2) + -6 -12p + (5 * -5 + -4p * -5) = 5(p + -2) + -6 -12p + (-25 + 20p) = 5(p + -2) + -6 Reorder the terms: -25 + -12p + 20p = 5(p + -2) + -6 Combine like terms: -12p + 20p = 8p -25 + 8p = 5(p + -2) + -6 Reorder the terms: -25 + 8p = 5(-2 + p) + -6 -25 + 8p = (-2 * 5 + p * 5) + -6 -25 + 8p = (-10 + 5p) + -6 Reorder the terms: -25 + 8p = -10 + -6 + 5p Combine like terms: -10 + -6 = -16 -25 + 8p = -16 + 5p Solving -25 + 8p = -16 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -25 + 8p + -5p = -16 + 5p + -5p Combine like terms: 8p + -5p = 3p -25 + 3p = -16 + 5p + -5p Combine like terms: 5p + -5p = 0 -25 + 3p = -16 + 0 -25 + 3p = -16 Add '25' to each side of the equation. -25 + 25 + 3p = -16 + 25 Combine like terms: -25 + 25 = 0 0 + 3p = -16 + 25 3p = -16 + 25 Combine like terms: -16 + 25 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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