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Simplifying 3p + -1(3 + 6p) = 3(p + -1) 3p + (3 * -1 + 6p * -1) = 3(p + -1) 3p + (-3 + -6p) = 3(p + -1) Reorder the terms: -3 + 3p + -6p = 3(p + -1) Combine like terms: 3p + -6p = -3p -3 + -3p = 3(p + -1) Reorder the terms: -3 + -3p = 3(-1 + p) -3 + -3p = (-1 * 3 + p * 3) -3 + -3p = (-3 + 3p) Add '3' to each side of the equation. -3 + 3 + -3p = -3 + 3 + 3p Combine like terms: -3 + 3 = 0 0 + -3p = -3 + 3 + 3p -3p = -3 + 3 + 3p Combine like terms: -3 + 3 = 0 -3p = 0 + 3p -3p = 3p Solving -3p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -3p + -3p = 3p + -3p Combine like terms: -3p + -3p = -6p -6p = 3p + -3p Combine like terms: 3p + -3p = 0 -6p = 0 Divide each side by '-6'. p = 0 Simplifying p = 0
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