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Simplifying 5p + 3 = p + -1(-5p + -2) Reorder the terms: 3 + 5p = p + -1(-5p + -2) Reorder the terms: 3 + 5p = p + -1(-2 + -5p) 3 + 5p = p + (-2 * -1 + -5p * -1) 3 + 5p = p + (2 + 5p) Reorder the terms: 3 + 5p = 2 + p + 5p Combine like terms: p + 5p = 6p 3 + 5p = 2 + 6p Solving 3 + 5p = 2 + 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. 3 + 5p + -6p = 2 + 6p + -6p Combine like terms: 5p + -6p = -1p 3 + -1p = 2 + 6p + -6p Combine like terms: 6p + -6p = 0 3 + -1p = 2 + 0 3 + -1p = 2 Add '-3' to each side of the equation. 3 + -3 + -1p = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 2 + -3 -1p = 2 + -3 Combine like terms: 2 + -3 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1
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