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Simplifying 16p + 31 + -3(4p + -3) = 5 + 5(p + 7) Reorder the terms: 16p + 31 + -3(-3 + 4p) = 5 + 5(p + 7) 16p + 31 + (-3 * -3 + 4p * -3) = 5 + 5(p + 7) 16p + 31 + (9 + -12p) = 5 + 5(p + 7) Reorder the terms: 31 + 9 + 16p + -12p = 5 + 5(p + 7) Combine like terms: 31 + 9 = 40 40 + 16p + -12p = 5 + 5(p + 7) Combine like terms: 16p + -12p = 4p 40 + 4p = 5 + 5(p + 7) Reorder the terms: 40 + 4p = 5 + 5(7 + p) 40 + 4p = 5 + (7 * 5 + p * 5) 40 + 4p = 5 + (35 + 5p) Combine like terms: 5 + 35 = 40 40 + 4p = 40 + 5p Add '-40' to each side of the equation. 40 + -40 + 4p = 40 + -40 + 5p Combine like terms: 40 + -40 = 0 0 + 4p = 40 + -40 + 5p 4p = 40 + -40 + 5p Combine like terms: 40 + -40 = 0 4p = 0 + 5p 4p = 5p Solving 4p = 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. 4p + -5p = 5p + -5p Combine like terms: 4p + -5p = -1p -1p = 5p + -5p Combine like terms: 5p + -5p = 0 -1p = 0 Divide each side by '-1'. p = 0 Simplifying p = 0
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