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Simplifying -2p + -2(3 + -5p) = 6(p + -2) + -4 -2p + (3 * -2 + -5p * -2) = 6(p + -2) + -4 -2p + (-6 + 10p) = 6(p + -2) + -4 Reorder the terms: -6 + -2p + 10p = 6(p + -2) + -4 Combine like terms: -2p + 10p = 8p -6 + 8p = 6(p + -2) + -4 Reorder the terms: -6 + 8p = 6(-2 + p) + -4 -6 + 8p = (-2 * 6 + p * 6) + -4 -6 + 8p = (-12 + 6p) + -4 Reorder the terms: -6 + 8p = -12 + -4 + 6p Combine like terms: -12 + -4 = -16 -6 + 8p = -16 + 6p Solving -6 + 8p = -16 + 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. -6 + 8p + -6p = -16 + 6p + -6p Combine like terms: 8p + -6p = 2p -6 + 2p = -16 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + 2p = -16 + 0 -6 + 2p = -16 Add '6' to each side of the equation. -6 + 6 + 2p = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = -16 + 6 2p = -16 + 6 Combine like terms: -16 + 6 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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