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Simplifying -2p + -6(3 + -2p) = 6(p + -3) + -16 -2p + (3 * -6 + -2p * -6) = 6(p + -3) + -16 -2p + (-18 + 12p) = 6(p + -3) + -16 Reorder the terms: -18 + -2p + 12p = 6(p + -3) + -16 Combine like terms: -2p + 12p = 10p -18 + 10p = 6(p + -3) + -16 Reorder the terms: -18 + 10p = 6(-3 + p) + -16 -18 + 10p = (-3 * 6 + p * 6) + -16 -18 + 10p = (-18 + 6p) + -16 Reorder the terms: -18 + 10p = -18 + -16 + 6p Combine like terms: -18 + -16 = -34 -18 + 10p = -34 + 6p Solving -18 + 10p = -34 + 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 + 10p + -6p = -34 + 6p + -6p Combine like terms: 10p + -6p = 4p -18 + 4p = -34 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 4p = -34 + 0 -18 + 4p = -34 Add '18' to each side of the equation. -18 + 18 + 4p = -34 + 18 Combine like terms: -18 + 18 = 0 0 + 4p = -34 + 18 4p = -34 + 18 Combine like terms: -34 + 18 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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