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Simplifying 4p + 5 = 7(-1p + 6) + -8(2 + -1p) Reorder the terms: 5 + 4p = 7(-1p + 6) + -8(2 + -1p) Reorder the terms: 5 + 4p = 7(6 + -1p) + -8(2 + -1p) 5 + 4p = (6 * 7 + -1p * 7) + -8(2 + -1p) 5 + 4p = (42 + -7p) + -8(2 + -1p) 5 + 4p = 42 + -7p + (2 * -8 + -1p * -8) 5 + 4p = 42 + -7p + (-16 + 8p) Reorder the terms: 5 + 4p = 42 + -16 + -7p + 8p Combine like terms: 42 + -16 = 26 5 + 4p = 26 + -7p + 8p Combine like terms: -7p + 8p = 1p 5 + 4p = 26 + 1p Solving 5 + 4p = 26 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 5 + 4p + -1p = 26 + 1p + -1p Combine like terms: 4p + -1p = 3p 5 + 3p = 26 + 1p + -1p Combine like terms: 1p + -1p = 0 5 + 3p = 26 + 0 5 + 3p = 26 Add '-5' to each side of the equation. 5 + -5 + 3p = 26 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 26 + -5 3p = 26 + -5 Combine like terms: 26 + -5 = 21 3p = 21 Divide each side by '3'. p = 7 Simplifying p = 7
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