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Simplifying 5p + -1 = 9 + 3[p + -6] Reorder the terms: -1 + 5p = 9 + 3[p + -6] Reorder the terms: -1 + 5p = 9 + 3[-6 + p] -1 + 5p = 9 + [-6 * 3 + p * 3] -1 + 5p = 9 + [-18 + 3p] Combine like terms: 9 + -18 = -9 -1 + 5p = -9 + 3p Solving -1 + 5p = -9 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -1 + 5p + -3p = -9 + 3p + -3p Combine like terms: 5p + -3p = 2p -1 + 2p = -9 + 3p + -3p Combine like terms: 3p + -3p = 0 -1 + 2p = -9 + 0 -1 + 2p = -9 Add '1' to each side of the equation. -1 + 1 + 2p = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 2p = -9 + 1 2p = -9 + 1 Combine like terms: -9 + 1 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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