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Simplifying -8(p + -3) + 5 = -1(4p + -1) Reorder the terms: -8(-3 + p) + 5 = -1(4p + -1) (-3 * -8 + p * -8) + 5 = -1(4p + -1) (24 + -8p) + 5 = -1(4p + -1) Reorder the terms: 24 + 5 + -8p = -1(4p + -1) Combine like terms: 24 + 5 = 29 29 + -8p = -1(4p + -1) Reorder the terms: 29 + -8p = -1(-1 + 4p) 29 + -8p = (-1 * -1 + 4p * -1) 29 + -8p = (1 + -4p) Solving 29 + -8p = 1 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 29 + -8p + 4p = 1 + -4p + 4p Combine like terms: -8p + 4p = -4p 29 + -4p = 1 + -4p + 4p Combine like terms: -4p + 4p = 0 29 + -4p = 1 + 0 29 + -4p = 1 Add '-29' to each side of the equation. 29 + -29 + -4p = 1 + -29 Combine like terms: 29 + -29 = 0 0 + -4p = 1 + -29 -4p = 1 + -29 Combine like terms: 1 + -29 = -28 -4p = -28 Divide each side by '-4'. p = 7 Simplifying p = 7
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