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Simplifying -3p + 6 = 5p + -1(3 + -1p) Reorder the terms: 6 + -3p = 5p + -1(3 + -1p) 6 + -3p = 5p + (3 * -1 + -1p * -1) 6 + -3p = 5p + (-3 + 1p) Reorder the terms: 6 + -3p = -3 + 5p + 1p Combine like terms: 5p + 1p = 6p 6 + -3p = -3 + 6p Solving 6 + -3p = -3 + 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. 6 + -3p + -6p = -3 + 6p + -6p Combine like terms: -3p + -6p = -9p 6 + -9p = -3 + 6p + -6p Combine like terms: 6p + -6p = 0 6 + -9p = -3 + 0 6 + -9p = -3 Add '-6' to each side of the equation. 6 + -6 + -9p = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -9p = -3 + -6 -9p = -3 + -6 Combine like terms: -3 + -6 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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