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Simplifying 3(p + 7) + -1(4p + -1) = -5(2p + -6) Reorder the terms: 3(7 + p) + -1(4p + -1) = -5(2p + -6) (7 * 3 + p * 3) + -1(4p + -1) = -5(2p + -6) (21 + 3p) + -1(4p + -1) = -5(2p + -6) Reorder the terms: 21 + 3p + -1(-1 + 4p) = -5(2p + -6) 21 + 3p + (-1 * -1 + 4p * -1) = -5(2p + -6) 21 + 3p + (1 + -4p) = -5(2p + -6) Reorder the terms: 21 + 1 + 3p + -4p = -5(2p + -6) Combine like terms: 21 + 1 = 22 22 + 3p + -4p = -5(2p + -6) Combine like terms: 3p + -4p = -1p 22 + -1p = -5(2p + -6) Reorder the terms: 22 + -1p = -5(-6 + 2p) 22 + -1p = (-6 * -5 + 2p * -5) 22 + -1p = (30 + -10p) Solving 22 + -1p = 30 + -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. 22 + -1p + 10p = 30 + -10p + 10p Combine like terms: -1p + 10p = 9p 22 + 9p = 30 + -10p + 10p Combine like terms: -10p + 10p = 0 22 + 9p = 30 + 0 22 + 9p = 30 Add '-22' to each side of the equation. 22 + -22 + 9p = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 9p = 30 + -22 9p = 30 + -22 Combine like terms: 30 + -22 = 8 9p = 8 Divide each side by '9'. p = 0.8888888889 Simplifying p = 0.8888888889
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