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Simplifying -3p + -4(4 + -2p) = 3(p + -4) + -16 -3p + (4 * -4 + -2p * -4) = 3(p + -4) + -16 -3p + (-16 + 8p) = 3(p + -4) + -16 Reorder the terms: -16 + -3p + 8p = 3(p + -4) + -16 Combine like terms: -3p + 8p = 5p -16 + 5p = 3(p + -4) + -16 Reorder the terms: -16 + 5p = 3(-4 + p) + -16 -16 + 5p = (-4 * 3 + p * 3) + -16 -16 + 5p = (-12 + 3p) + -16 Reorder the terms: -16 + 5p = -12 + -16 + 3p Combine like terms: -12 + -16 = -28 -16 + 5p = -28 + 3p Solving -16 + 5p = -28 + 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. -16 + 5p + -3p = -28 + 3p + -3p Combine like terms: 5p + -3p = 2p -16 + 2p = -28 + 3p + -3p Combine like terms: 3p + -3p = 0 -16 + 2p = -28 + 0 -16 + 2p = -28 Add '16' to each side of the equation. -16 + 16 + 2p = -28 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = -28 + 16 2p = -28 + 16 Combine like terms: -28 + 16 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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