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Simplifying -3p + 2 + p + -6 = (7p + -1) + -2(1 + -3p) Reorder the terms: 2 + -6 + -3p + p = (7p + -1) + -2(1 + -3p) Combine like terms: 2 + -6 = -4 -4 + -3p + p = (7p + -1) + -2(1 + -3p) Combine like terms: -3p + p = -2p -4 + -2p = (7p + -1) + -2(1 + -3p) Reorder the terms: -4 + -2p = (-1 + 7p) + -2(1 + -3p) Remove parenthesis around (-1 + 7p) -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 = -3 -4 + -2p = -3 + 7p + 6p Combine like terms: 7p + 6p = 13p -4 + -2p = -3 + 13p Solving -4 + -2p = -3 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. -4 + -2p + -13p = -3 + 13p + -13p Combine like terms: -2p + -13p = -15p -4 + -15p = -3 + 13p + -13p Combine like terms: 13p + -13p = 0 -4 + -15p = -3 + 0 -4 + -15p = -3 Add '4' to each side of the equation. -4 + 4 + -15p = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -15p = -3 + 4 -15p = -3 + 4 Combine like terms: -3 + 4 = 1 -15p = 1 Divide each side by '-15'. p = -0.06666666667 Simplifying p = -0.06666666667
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