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Simplifying 2 = -8(p + 2) + -1(-5p + 6) Reorder the terms: 2 = -8(2 + p) + -1(-5p + 6) 2 = (2 * -8 + p * -8) + -1(-5p + 6) 2 = (-16 + -8p) + -1(-5p + 6) Reorder the terms: 2 = -16 + -8p + -1(6 + -5p) 2 = -16 + -8p + (6 * -1 + -5p * -1) 2 = -16 + -8p + (-6 + 5p) Reorder the terms: 2 = -16 + -6 + -8p + 5p Combine like terms: -16 + -6 = -22 2 = -22 + -8p + 5p Combine like terms: -8p + 5p = -3p 2 = -22 + -3p Solving 2 = -22 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 2 + 3p = -22 + -3p + 3p Combine like terms: -3p + 3p = 0 2 + 3p = -22 + 0 2 + 3p = -22 Add '-2' to each side of the equation. 2 + -2 + 3p = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 3p = -22 + -2 3p = -22 + -2 Combine like terms: -22 + -2 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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