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Simplifying 4(p + 6) + 4(p + 6) = -3p + 5p Reorder the terms: 4(6 + p) + 4(p + 6) = -3p + 5p (6 * 4 + p * 4) + 4(p + 6) = -3p + 5p (24 + 4p) + 4(p + 6) = -3p + 5p Reorder the terms: 24 + 4p + 4(6 + p) = -3p + 5p 24 + 4p + (6 * 4 + p * 4) = -3p + 5p 24 + 4p + (24 + 4p) = -3p + 5p Reorder the terms: 24 + 24 + 4p + 4p = -3p + 5p Combine like terms: 24 + 24 = 48 48 + 4p + 4p = -3p + 5p Combine like terms: 4p + 4p = 8p 48 + 8p = -3p + 5p Combine like terms: -3p + 5p = 2p 48 + 8p = 2p Solving 48 + 8p = 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. 48 + 8p + -2p = 2p + -2p Combine like terms: 8p + -2p = 6p 48 + 6p = 2p + -2p Combine like terms: 2p + -2p = 0 48 + 6p = 0 Add '-48' to each side of the equation. 48 + -48 + 6p = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6p = 0 + -48 6p = 0 + -48 Combine like terms: 0 + -48 = -48 6p = -48 Divide each side by '6'. p = -8 Simplifying p = -8
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