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Simplifying -2(6 + 5p) + -4 = 2(4 + -6p) (6 * -2 + 5p * -2) + -4 = 2(4 + -6p) (-12 + -10p) + -4 = 2(4 + -6p) Reorder the terms: -12 + -4 + -10p = 2(4 + -6p) Combine like terms: -12 + -4 = -16 -16 + -10p = 2(4 + -6p) -16 + -10p = (4 * 2 + -6p * 2) -16 + -10p = (8 + -12p) Solving -16 + -10p = 8 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -16 + -10p + 12p = 8 + -12p + 12p Combine like terms: -10p + 12p = 2p -16 + 2p = 8 + -12p + 12p Combine like terms: -12p + 12p = 0 -16 + 2p = 8 + 0 -16 + 2p = 8 Add '16' to each side of the equation. -16 + 16 + 2p = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = 8 + 16 2p = 8 + 16 Combine like terms: 8 + 16 = 24 2p = 24 Divide each side by '2'. p = 12 Simplifying p = 12
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