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Simplifying -3p + 8 = 5 + -1(6p + 1) Reorder the terms: 8 + -3p = 5 + -1(6p + 1) Reorder the terms: 8 + -3p = 5 + -1(1 + 6p) 8 + -3p = 5 + (1 * -1 + 6p * -1) 8 + -3p = 5 + (-1 + -6p) Combine like terms: 5 + -1 = 4 8 + -3p = 4 + -6p Solving 8 + -3p = 4 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 8 + -3p + 6p = 4 + -6p + 6p Combine like terms: -3p + 6p = 3p 8 + 3p = 4 + -6p + 6p Combine like terms: -6p + 6p = 0 8 + 3p = 4 + 0 8 + 3p = 4 Add '-8' to each side of the equation. 8 + -8 + 3p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 4 + -8 3p = 4 + -8 Combine like terms: 4 + -8 = -4 3p = -4 Divide each side by '3'. p = -1.333333333 Simplifying p = -1.333333333
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