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Simplifying 3(p + 7) + -1(4 + -1) = -5(2p + -3) + 1 Reorder the terms: 3(7 + p) + -1(4 + -1) = -5(2p + -3) + 1 (7 * 3 + p * 3) + -1(4 + -1) = -5(2p + -3) + 1 (21 + 3p) + -1(4 + -1) = -5(2p + -3) + 1 Combine like terms: 4 + -1 = 3 21 + 3p + -1(3) = -5(2p + -3) + 1 Multiply -1 * 3 21 + 3p + -3 = -5(2p + -3) + 1 Reorder the terms: 21 + -3 + 3p = -5(2p + -3) + 1 Combine like terms: 21 + -3 = 18 18 + 3p = -5(2p + -3) + 1 Reorder the terms: 18 + 3p = -5(-3 + 2p) + 1 18 + 3p = (-3 * -5 + 2p * -5) + 1 18 + 3p = (15 + -10p) + 1 Reorder the terms: 18 + 3p = 15 + 1 + -10p Combine like terms: 15 + 1 = 16 18 + 3p = 16 + -10p Solving 18 + 3p = 16 + -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. 18 + 3p + 10p = 16 + -10p + 10p Combine like terms: 3p + 10p = 13p 18 + 13p = 16 + -10p + 10p Combine like terms: -10p + 10p = 0 18 + 13p = 16 + 0 18 + 13p = 16 Add '-18' to each side of the equation. 18 + -18 + 13p = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 13p = 16 + -18 13p = 16 + -18 Combine like terms: 16 + -18 = -2 13p = -2 Divide each side by '13'. p = -0.1538461538 Simplifying p = -0.1538461538
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