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Simplifying -17p + -6(2 + -4p) = 3(p + -2) + -6 -17p + (2 * -6 + -4p * -6) = 3(p + -2) + -6 -17p + (-12 + 24p) = 3(p + -2) + -6 Reorder the terms: -12 + -17p + 24p = 3(p + -2) + -6 Combine like terms: -17p + 24p = 7p -12 + 7p = 3(p + -2) + -6 Reorder the terms: -12 + 7p = 3(-2 + p) + -6 -12 + 7p = (-2 * 3 + p * 3) + -6 -12 + 7p = (-6 + 3p) + -6 Reorder the terms: -12 + 7p = -6 + -6 + 3p Combine like terms: -6 + -6 = -12 -12 + 7p = -12 + 3p Add '12' to each side of the equation. -12 + 12 + 7p = -12 + 12 + 3p Combine like terms: -12 + 12 = 0 0 + 7p = -12 + 12 + 3p 7p = -12 + 12 + 3p Combine like terms: -12 + 12 = 0 7p = 0 + 3p 7p = 3p Solving 7p = 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. 7p + -3p = 3p + -3p Combine like terms: 7p + -3p = 4p 4p = 3p + -3p Combine like terms: 3p + -3p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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