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Simplifying 3 + -5p = 2p + -4(p + -6) Reorder the terms: 3 + -5p = 2p + -4(-6 + p) 3 + -5p = 2p + (-6 * -4 + p * -4) 3 + -5p = 2p + (24 + -4p) Reorder the terms: 3 + -5p = 24 + 2p + -4p Combine like terms: 2p + -4p = -2p 3 + -5p = 24 + -2p Solving 3 + -5p = 24 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 3 + -5p + 2p = 24 + -2p + 2p Combine like terms: -5p + 2p = -3p 3 + -3p = 24 + -2p + 2p Combine like terms: -2p + 2p = 0 3 + -3p = 24 + 0 3 + -3p = 24 Add '-3' to each side of the equation. 3 + -3 + -3p = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -3p = 24 + -3 -3p = 24 + -3 Combine like terms: 24 + -3 = 21 -3p = 21 Divide each side by '-3'. p = -7 Simplifying p = -7
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