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Simplifying -4p + -6(6 + -2p) = 6(p + -3) + -10 -4p + (6 * -6 + -2p * -6) = 6(p + -3) + -10 -4p + (-36 + 12p) = 6(p + -3) + -10 Reorder the terms: -36 + -4p + 12p = 6(p + -3) + -10 Combine like terms: -4p + 12p = 8p -36 + 8p = 6(p + -3) + -10 Reorder the terms: -36 + 8p = 6(-3 + p) + -10 -36 + 8p = (-3 * 6 + p * 6) + -10 -36 + 8p = (-18 + 6p) + -10 Reorder the terms: -36 + 8p = -18 + -10 + 6p Combine like terms: -18 + -10 = -28 -36 + 8p = -28 + 6p Solving -36 + 8p = -28 + 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. -36 + 8p + -6p = -28 + 6p + -6p Combine like terms: 8p + -6p = 2p -36 + 2p = -28 + 6p + -6p Combine like terms: 6p + -6p = 0 -36 + 2p = -28 + 0 -36 + 2p = -28 Add '36' to each side of the equation. -36 + 36 + 2p = -28 + 36 Combine like terms: -36 + 36 = 0 0 + 2p = -28 + 36 2p = -28 + 36 Combine like terms: -28 + 36 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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