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Simplifying p + -1 = 5(2p + -3) + -4 Reorder the terms: -1 + p = 5(2p + -3) + -4 Reorder the terms: -1 + p = 5(-3 + 2p) + -4 -1 + p = (-3 * 5 + 2p * 5) + -4 -1 + p = (-15 + 10p) + -4 Reorder the terms: -1 + p = -15 + -4 + 10p Combine like terms: -15 + -4 = -19 -1 + p = -19 + 10p Solving -1 + p = -19 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -1 + p + -10p = -19 + 10p + -10p Combine like terms: p + -10p = -9p -1 + -9p = -19 + 10p + -10p Combine like terms: 10p + -10p = 0 -1 + -9p = -19 + 0 -1 + -9p = -19 Add '1' to each side of the equation. -1 + 1 + -9p = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -9p = -19 + 1 -9p = -19 + 1 Combine like terms: -19 + 1 = -18 -9p = -18 Divide each side by '-9'. p = 2 Simplifying p = 2
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