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Simplifying -7p + -2(4 + -6p) = 3(p + -2) + -8 -7p + (4 * -2 + -6p * -2) = 3(p + -2) + -8 -7p + (-8 + 12p) = 3(p + -2) + -8 Reorder the terms: -8 + -7p + 12p = 3(p + -2) + -8 Combine like terms: -7p + 12p = 5p -8 + 5p = 3(p + -2) + -8 Reorder the terms: -8 + 5p = 3(-2 + p) + -8 -8 + 5p = (-2 * 3 + p * 3) + -8 -8 + 5p = (-6 + 3p) + -8 Reorder the terms: -8 + 5p = -6 + -8 + 3p Combine like terms: -6 + -8 = -14 -8 + 5p = -14 + 3p Solving -8 + 5p = -14 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -8 + 5p + -3p = -14 + 3p + -3p Combine like terms: 5p + -3p = 2p -8 + 2p = -14 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + 2p = -14 + 0 -8 + 2p = -14 Add '8' to each side of the equation. -8 + 8 + 2p = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -14 + 8 2p = -14 + 8 Combine like terms: -14 + 8 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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