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Simplifying -5p + -14 = 2p + 3 + -10p + 1 Reorder the terms: -14 + -5p = 2p + 3 + -10p + 1 Reorder the terms: -14 + -5p = 3 + 1 + 2p + -10p Combine like terms: 3 + 1 = 4 -14 + -5p = 4 + 2p + -10p Combine like terms: 2p + -10p = -8p -14 + -5p = 4 + -8p Solving -14 + -5p = 4 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -14 + -5p + 8p = 4 + -8p + 8p Combine like terms: -5p + 8p = 3p -14 + 3p = 4 + -8p + 8p Combine like terms: -8p + 8p = 0 -14 + 3p = 4 + 0 -14 + 3p = 4 Add '14' to each side of the equation. -14 + 14 + 3p = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 3p = 4 + 14 3p = 4 + 14 Combine like terms: 4 + 14 = 18 3p = 18 Divide each side by '3'. p = 6 Simplifying p = 6
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