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Simplifying -5(p + 2) = 6 + -1p Reorder the terms: -5(2 + p) = 6 + -1p (2 * -5 + p * -5) = 6 + -1p (-10 + -5p) = 6 + -1p Solving -10 + -5p = 6 + -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. -10 + -5p + p = 6 + -1p + p Combine like terms: -5p + p = -4p -10 + -4p = 6 + -1p + p Combine like terms: -1p + p = 0 -10 + -4p = 6 + 0 -10 + -4p = 6 Add '10' to each side of the equation. -10 + 10 + -4p = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -4p = 6 + 10 -4p = 6 + 10 Combine like terms: 6 + 10 = 16 -4p = 16 Divide each side by '-4'. p = -4 Simplifying p = -4
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