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Simplifying 5p + -14 + -2p = 2(4p + 3) Reorder the terms: -14 + 5p + -2p = 2(4p + 3) Combine like terms: 5p + -2p = 3p -14 + 3p = 2(4p + 3) Reorder the terms: -14 + 3p = 2(3 + 4p) -14 + 3p = (3 * 2 + 4p * 2) -14 + 3p = (6 + 8p) Solving -14 + 3p = 6 + 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 + 3p + -8p = 6 + 8p + -8p Combine like terms: 3p + -8p = -5p -14 + -5p = 6 + 8p + -8p Combine like terms: 8p + -8p = 0 -14 + -5p = 6 + 0 -14 + -5p = 6 Add '14' to each side of the equation. -14 + 14 + -5p = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -5p = 6 + 14 -5p = 6 + 14 Combine like terms: 6 + 14 = 20 -5p = 20 Divide each side by '-5'. p = -4 Simplifying p = -4
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