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Simplifying -4p + -2(2 + -6p) = 6(p + -2) + -10 -4p + (2 * -2 + -6p * -2) = 6(p + -2) + -10 -4p + (-4 + 12p) = 6(p + -2) + -10 Reorder the terms: -4 + -4p + 12p = 6(p + -2) + -10 Combine like terms: -4p + 12p = 8p -4 + 8p = 6(p + -2) + -10 Reorder the terms: -4 + 8p = 6(-2 + p) + -10 -4 + 8p = (-2 * 6 + p * 6) + -10 -4 + 8p = (-12 + 6p) + -10 Reorder the terms: -4 + 8p = -12 + -10 + 6p Combine like terms: -12 + -10 = -22 -4 + 8p = -22 + 6p Solving -4 + 8p = -22 + 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. -4 + 8p + -6p = -22 + 6p + -6p Combine like terms: 8p + -6p = 2p -4 + 2p = -22 + 6p + -6p Combine like terms: 6p + -6p = 0 -4 + 2p = -22 + 0 -4 + 2p = -22 Add '4' to each side of the equation. -4 + 4 + 2p = -22 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -22 + 4 2p = -22 + 4 Combine like terms: -22 + 4 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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