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Simplifying -28p + -6(3 + -6p) = 6(p + -4) + -2 -28p + (3 * -6 + -6p * -6) = 6(p + -4) + -2 -28p + (-18 + 36p) = 6(p + -4) + -2 Reorder the terms: -18 + -28p + 36p = 6(p + -4) + -2 Combine like terms: -28p + 36p = 8p -18 + 8p = 6(p + -4) + -2 Reorder the terms: -18 + 8p = 6(-4 + p) + -2 -18 + 8p = (-4 * 6 + p * 6) + -2 -18 + 8p = (-24 + 6p) + -2 Reorder the terms: -18 + 8p = -24 + -2 + 6p Combine like terms: -24 + -2 = -26 -18 + 8p = -26 + 6p Solving -18 + 8p = -26 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -18 + 8p + -6p = -26 + 6p + -6p Combine like terms: 8p + -6p = 2p -18 + 2p = -26 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 2p = -26 + 0 -18 + 2p = -26 Add '18' to each side of the equation. -18 + 18 + 2p = -26 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -26 + 18 2p = -26 + 18 Combine like terms: -26 + 18 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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