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Simplifying 7p + -2(3p + -1) = 5p + 6 Reorder the terms: 7p + -2(-1 + 3p) = 5p + 6 7p + (-1 * -2 + 3p * -2) = 5p + 6 7p + (2 + -6p) = 5p + 6 Reorder the terms: 2 + 7p + -6p = 5p + 6 Combine like terms: 7p + -6p = 1p 2 + 1p = 5p + 6 Reorder the terms: 2 + 1p = 6 + 5p Solving 2 + 1p = 6 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + 1p + -5p = 6 + 5p + -5p Combine like terms: 1p + -5p = -4p 2 + -4p = 6 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -4p = 6 + 0 2 + -4p = 6 Add '-2' to each side of the equation. 2 + -2 + -4p = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -4p = 6 + -2 -4p = 6 + -2 Combine like terms: 6 + -2 = 4 -4p = 4 Divide each side by '-4'. p = -1 Simplifying p = -1
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