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Simplifying 6 + -5p = 2 + -1(p + 6) Reorder the terms: 6 + -5p = 2 + -1(6 + p) 6 + -5p = 2 + (6 * -1 + p * -1) 6 + -5p = 2 + (-6 + -1p) Combine like terms: 2 + -6 = -4 6 + -5p = -4 + -1p Solving 6 + -5p = -4 + -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. 6 + -5p + p = -4 + -1p + p Combine like terms: -5p + p = -4p 6 + -4p = -4 + -1p + p Combine like terms: -1p + p = 0 6 + -4p = -4 + 0 6 + -4p = -4 Add '-6' to each side of the equation. 6 + -6 + -4p = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -4p = -4 + -6 -4p = -4 + -6 Combine like terms: -4 + -6 = -10 -4p = -10 Divide each side by '-4'. p = 2.5 Simplifying p = 2.5
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