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Simplifying -5p + -2(4 + -6p) = 2(p + -4) + -25 -5p + (4 * -2 + -6p * -2) = 2(p + -4) + -25 -5p + (-8 + 12p) = 2(p + -4) + -25 Reorder the terms: -8 + -5p + 12p = 2(p + -4) + -25 Combine like terms: -5p + 12p = 7p -8 + 7p = 2(p + -4) + -25 Reorder the terms: -8 + 7p = 2(-4 + p) + -25 -8 + 7p = (-4 * 2 + p * 2) + -25 -8 + 7p = (-8 + 2p) + -25 Reorder the terms: -8 + 7p = -8 + -25 + 2p Combine like terms: -8 + -25 = -33 -8 + 7p = -33 + 2p Solving -8 + 7p = -33 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -8 + 7p + -2p = -33 + 2p + -2p Combine like terms: 7p + -2p = 5p -8 + 5p = -33 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + 5p = -33 + 0 -8 + 5p = -33 Add '8' to each side of the equation. -8 + 8 + 5p = -33 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -33 + 8 5p = -33 + 8 Combine like terms: -33 + 8 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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