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Simplifying -14 + 3p + 30 = 14p + 28 + p Reorder the terms: -14 + 30 + 3p = 14p + 28 + p Combine like terms: -14 + 30 = 16 16 + 3p = 14p + 28 + p Reorder the terms: 16 + 3p = 28 + 14p + p Combine like terms: 14p + p = 15p 16 + 3p = 28 + 15p Solving 16 + 3p = 28 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 16 + 3p + -15p = 28 + 15p + -15p Combine like terms: 3p + -15p = -12p 16 + -12p = 28 + 15p + -15p Combine like terms: 15p + -15p = 0 16 + -12p = 28 + 0 16 + -12p = 28 Add '-16' to each side of the equation. 16 + -16 + -12p = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -12p = 28 + -16 -12p = 28 + -16 Combine like terms: 28 + -16 = 12 -12p = 12 Divide each side by '-12'. p = -1 Simplifying p = -1
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