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Simplifying 2[7p + -2(p + -1) + 3(4p + 7)] = 5 + -1(p + -1) Reorder the terms: 2[7p + -2(-1 + p) + 3(4p + 7)] = 5 + -1(p + -1) 2[7p + (-1 * -2 + p * -2) + 3(4p + 7)] = 5 + -1(p + -1) 2[7p + (2 + -2p) + 3(4p + 7)] = 5 + -1(p + -1) Reorder the terms: 2[7p + 2 + -2p + 3(7 + 4p)] = 5 + -1(p + -1) 2[7p + 2 + -2p + (7 * 3 + 4p * 3)] = 5 + -1(p + -1) 2[7p + 2 + -2p + (21 + 12p)] = 5 + -1(p + -1) Reorder the terms: 2[2 + 21 + 7p + -2p + 12p] = 5 + -1(p + -1) Combine like terms: 2 + 21 = 23 2[23 + 7p + -2p + 12p] = 5 + -1(p + -1) Combine like terms: 7p + -2p = 5p 2[23 + 5p + 12p] = 5 + -1(p + -1) Combine like terms: 5p + 12p = 17p 2[23 + 17p] = 5 + -1(p + -1) [23 * 2 + 17p * 2] = 5 + -1(p + -1) [46 + 34p] = 5 + -1(p + -1) Reorder the terms: 46 + 34p = 5 + -1(-1 + p) 46 + 34p = 5 + (-1 * -1 + p * -1) 46 + 34p = 5 + (1 + -1p) Combine like terms: 5 + 1 = 6 46 + 34p = 6 + -1p Solving 46 + 34p = 6 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 46 + 34p + p = 6 + -1p + p Combine like terms: 34p + p = 35p 46 + 35p = 6 + -1p + p Combine like terms: -1p + p = 0 46 + 35p = 6 + 0 46 + 35p = 6 Add '-46' to each side of the equation. 46 + -46 + 35p = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 35p = 6 + -46 35p = 6 + -46 Combine like terms: 6 + -46 = -40 35p = -40 Divide each side by '35'. p = -1.142857143 Simplifying p = -1.142857143
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