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Simplifying 5(3p + 4) = -2(2 + -6p) Reorder the terms: 5(4 + 3p) = -2(2 + -6p) (4 * 5 + 3p * 5) = -2(2 + -6p) (20 + 15p) = -2(2 + -6p) 20 + 15p = (2 * -2 + -6p * -2) 20 + 15p = (-4 + 12p) Solving 20 + 15p = -4 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 20 + 15p + -12p = -4 + 12p + -12p Combine like terms: 15p + -12p = 3p 20 + 3p = -4 + 12p + -12p Combine like terms: 12p + -12p = 0 20 + 3p = -4 + 0 20 + 3p = -4 Add '-20' to each side of the equation. 20 + -20 + 3p = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 3p = -4 + -20 3p = -4 + -20 Combine like terms: -4 + -20 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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