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Simplifying 2p + 4p = 6(5p + 4) + -4(p + -4) Combine like terms: 2p + 4p = 6p 6p = 6(5p + 4) + -4(p + -4) Reorder the terms: 6p = 6(4 + 5p) + -4(p + -4) 6p = (4 * 6 + 5p * 6) + -4(p + -4) 6p = (24 + 30p) + -4(p + -4) Reorder the terms: 6p = 24 + 30p + -4(-4 + p) 6p = 24 + 30p + (-4 * -4 + p * -4) 6p = 24 + 30p + (16 + -4p) Reorder the terms: 6p = 24 + 16 + 30p + -4p Combine like terms: 24 + 16 = 40 6p = 40 + 30p + -4p Combine like terms: 30p + -4p = 26p 6p = 40 + 26p Solving 6p = 40 + 26p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-26p' to each side of the equation. 6p + -26p = 40 + 26p + -26p Combine like terms: 6p + -26p = -20p -20p = 40 + 26p + -26p Combine like terms: 26p + -26p = 0 -20p = 40 + 0 -20p = 40 Divide each side by '-20'. p = -2 Simplifying p = -2
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