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Simplifying 1 + -5p + p + -3 = -2(p + -4) + -1(6p + 6) Reorder the terms: 1 + -3 + -5p + p = -2(p + -4) + -1(6p + 6) Combine like terms: 1 + -3 = -2 -2 + -5p + p = -2(p + -4) + -1(6p + 6) Combine like terms: -5p + p = -4p -2 + -4p = -2(p + -4) + -1(6p + 6) Reorder the terms: -2 + -4p = -2(-4 + p) + -1(6p + 6) -2 + -4p = (-4 * -2 + p * -2) + -1(6p + 6) -2 + -4p = (8 + -2p) + -1(6p + 6) Reorder the terms: -2 + -4p = 8 + -2p + -1(6 + 6p) -2 + -4p = 8 + -2p + (6 * -1 + 6p * -1) -2 + -4p = 8 + -2p + (-6 + -6p) Reorder the terms: -2 + -4p = 8 + -6 + -2p + -6p Combine like terms: 8 + -6 = 2 -2 + -4p = 2 + -2p + -6p Combine like terms: -2p + -6p = -8p -2 + -4p = 2 + -8p Solving -2 + -4p = 2 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -2 + -4p + 8p = 2 + -8p + 8p Combine like terms: -4p + 8p = 4p -2 + 4p = 2 + -8p + 8p Combine like terms: -8p + 8p = 0 -2 + 4p = 2 + 0 -2 + 4p = 2 Add '2' to each side of the equation. -2 + 2 + 4p = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = 2 + 2 4p = 2 + 2 Combine like terms: 2 + 2 = 4 4p = 4 Divide each side by '4'. p = 1 Simplifying p = 1
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