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Simplifying -3p + 2 + p + -6 = -1(7p + -1) + -2(1 + -3p) Reorder the terms: 2 + -6 + -3p + p = -1(7p + -1) + -2(1 + -3p) Combine like terms: 2 + -6 = -4 -4 + -3p + p = -1(7p + -1) + -2(1 + -3p) Combine like terms: -3p + p = -2p -4 + -2p = -1(7p + -1) + -2(1 + -3p) Reorder the terms: -4 + -2p = -1(-1 + 7p) + -2(1 + -3p) -4 + -2p = (-1 * -1 + 7p * -1) + -2(1 + -3p) -4 + -2p = (1 + -7p) + -2(1 + -3p) -4 + -2p = 1 + -7p + (1 * -2 + -3p * -2) -4 + -2p = 1 + -7p + (-2 + 6p) Reorder the terms: -4 + -2p = 1 + -2 + -7p + 6p Combine like terms: 1 + -2 = -1 -4 + -2p = -1 + -7p + 6p Combine like terms: -7p + 6p = -1p -4 + -2p = -1 + -1p Solving -4 + -2p = -1 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -4 + -2p + p = -1 + -1p + p Combine like terms: -2p + p = -1p -4 + -1p = -1 + -1p + p Combine like terms: -1p + p = 0 -4 + -1p = -1 + 0 -4 + -1p = -1 Add '4' to each side of the equation. -4 + 4 + -1p = -1 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = -1 + 4 -1p = -1 + 4 Combine like terms: -1 + 4 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3
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