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Simplifying -6p + -1(3p + -4) = 2p + -7 Reorder the terms: -6p + -1(-4 + 3p) = 2p + -7 -6p + (-4 * -1 + 3p * -1) = 2p + -7 -6p + (4 + -3p) = 2p + -7 Reorder the terms: 4 + -6p + -3p = 2p + -7 Combine like terms: -6p + -3p = -9p 4 + -9p = 2p + -7 Reorder the terms: 4 + -9p = -7 + 2p Solving 4 + -9p = -7 + 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. 4 + -9p + -2p = -7 + 2p + -2p Combine like terms: -9p + -2p = -11p 4 + -11p = -7 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + -11p = -7 + 0 4 + -11p = -7 Add '-4' to each side of the equation. 4 + -4 + -11p = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -11p = -7 + -4 -11p = -7 + -4 Combine like terms: -7 + -4 = -11 -11p = -11 Divide each side by '-11'. p = 1 Simplifying p = 1
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