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Simplifying -2p + -3(2 + -3p) = 4(p + -4) + -14 -2p + (2 * -3 + -3p * -3) = 4(p + -4) + -14 -2p + (-6 + 9p) = 4(p + -4) + -14 Reorder the terms: -6 + -2p + 9p = 4(p + -4) + -14 Combine like terms: -2p + 9p = 7p -6 + 7p = 4(p + -4) + -14 Reorder the terms: -6 + 7p = 4(-4 + p) + -14 -6 + 7p = (-4 * 4 + p * 4) + -14 -6 + 7p = (-16 + 4p) + -14 Reorder the terms: -6 + 7p = -16 + -14 + 4p Combine like terms: -16 + -14 = -30 -6 + 7p = -30 + 4p Solving -6 + 7p = -30 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -6 + 7p + -4p = -30 + 4p + -4p Combine like terms: 7p + -4p = 3p -6 + 3p = -30 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + 3p = -30 + 0 -6 + 3p = -30 Add '6' to each side of the equation. -6 + 6 + 3p = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 3p = -30 + 6 3p = -30 + 6 Combine like terms: -30 + 6 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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