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Simplifying -1(6p + 2) = 2(p + -4) + 6 Reorder the terms: -1(2 + 6p) = 2(p + -4) + 6 (2 * -1 + 6p * -1) = 2(p + -4) + 6 (-2 + -6p) = 2(p + -4) + 6 Reorder the terms: -2 + -6p = 2(-4 + p) + 6 -2 + -6p = (-4 * 2 + p * 2) + 6 -2 + -6p = (-8 + 2p) + 6 Reorder the terms: -2 + -6p = -8 + 6 + 2p Combine like terms: -8 + 6 = -2 -2 + -6p = -2 + 2p Add '2' to each side of the equation. -2 + 2 + -6p = -2 + 2 + 2p Combine like terms: -2 + 2 = 0 0 + -6p = -2 + 2 + 2p -6p = -2 + 2 + 2p Combine like terms: -2 + 2 = 0 -6p = 0 + 2p -6p = 2p Solving -6p = 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. -6p + -2p = 2p + -2p Combine like terms: -6p + -2p = -8p -8p = 2p + -2p Combine like terms: 2p + -2p = 0 -8p = 0 Divide each side by '-8'. p = 0 Simplifying p = 0
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