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Simplifying 3(p + -2) = 16p + -1(6 + p) Reorder the terms: 3(-2 + p) = 16p + -1(6 + p) (-2 * 3 + p * 3) = 16p + -1(6 + p) (-6 + 3p) = 16p + -1(6 + p) -6 + 3p = 16p + (6 * -1 + p * -1) -6 + 3p = 16p + (-6 + -1p) Reorder the terms: -6 + 3p = -6 + 16p + -1p Combine like terms: 16p + -1p = 15p -6 + 3p = -6 + 15p Add '6' to each side of the equation. -6 + 6 + 3p = -6 + 6 + 15p Combine like terms: -6 + 6 = 0 0 + 3p = -6 + 6 + 15p 3p = -6 + 6 + 15p Combine like terms: -6 + 6 = 0 3p = 0 + 15p 3p = 15p Solving 3p = 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. 3p + -15p = 15p + -15p Combine like terms: 3p + -15p = -12p -12p = 15p + -15p Combine like terms: 15p + -15p = 0 -12p = 0 Divide each side by '-12'. p = 0 Simplifying p = 0
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