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Simplifying 5p + -6 + p = 2(4 + -1p) Reorder the terms: -6 + 5p + p = 2(4 + -1p) Combine like terms: 5p + p = 6p -6 + 6p = 2(4 + -1p) -6 + 6p = (4 * 2 + -1p * 2) -6 + 6p = (8 + -2p) Solving -6 + 6p = 8 + -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. -6 + 6p + 2p = 8 + -2p + 2p Combine like terms: 6p + 2p = 8p -6 + 8p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 -6 + 8p = 8 + 0 -6 + 8p = 8 Add '6' to each side of the equation. -6 + 6 + 8p = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 8p = 8 + 6 8p = 8 + 6 Combine like terms: 8 + 6 = 14 8p = 14 Divide each side by '8'. p = 1.75 Simplifying p = 1.75
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