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Simplifying -3p + -2(4 + -4p) = 3(p + -6) + -4 -3p + (4 * -2 + -4p * -2) = 3(p + -6) + -4 -3p + (-8 + 8p) = 3(p + -6) + -4 Reorder the terms: -8 + -3p + 8p = 3(p + -6) + -4 Combine like terms: -3p + 8p = 5p -8 + 5p = 3(p + -6) + -4 Reorder the terms: -8 + 5p = 3(-6 + p) + -4 -8 + 5p = (-6 * 3 + p * 3) + -4 -8 + 5p = (-18 + 3p) + -4 Reorder the terms: -8 + 5p = -18 + -4 + 3p Combine like terms: -18 + -4 = -22 -8 + 5p = -22 + 3p Solving -8 + 5p = -22 + 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. -8 + 5p + -3p = -22 + 3p + -3p Combine like terms: 5p + -3p = 2p -8 + 2p = -22 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + 2p = -22 + 0 -8 + 2p = -22 Add '8' to each side of the equation. -8 + 8 + 2p = -22 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -22 + 8 2p = -22 + 8 Combine like terms: -22 + 8 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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