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Simplifying -3p + -4(4 + -2p) = 2(p + -4) + -26 -3p + (4 * -4 + -2p * -4) = 2(p + -4) + -26 -3p + (-16 + 8p) = 2(p + -4) + -26 Reorder the terms: -16 + -3p + 8p = 2(p + -4) + -26 Combine like terms: -3p + 8p = 5p -16 + 5p = 2(p + -4) + -26 Reorder the terms: -16 + 5p = 2(-4 + p) + -26 -16 + 5p = (-4 * 2 + p * 2) + -26 -16 + 5p = (-8 + 2p) + -26 Reorder the terms: -16 + 5p = -8 + -26 + 2p Combine like terms: -8 + -26 = -34 -16 + 5p = -34 + 2p Solving -16 + 5p = -34 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -16 + 5p + -2p = -34 + 2p + -2p Combine like terms: 5p + -2p = 3p -16 + 3p = -34 + 2p + -2p Combine like terms: 2p + -2p = 0 -16 + 3p = -34 + 0 -16 + 3p = -34 Add '16' to each side of the equation. -16 + 16 + 3p = -34 + 16 Combine like terms: -16 + 16 = 0 0 + 3p = -34 + 16 3p = -34 + 16 Combine like terms: -34 + 16 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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