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Simplifying 6(p + -1) + -1p = -2(p + 1) + p + -1 Reorder the terms: 6(-1 + p) + -1p = -2(p + 1) + p + -1 (-1 * 6 + p * 6) + -1p = -2(p + 1) + p + -1 (-6 + 6p) + -1p = -2(p + 1) + p + -1 Combine like terms: 6p + -1p = 5p -6 + 5p = -2(p + 1) + p + -1 Reorder the terms: -6 + 5p = -2(1 + p) + p + -1 -6 + 5p = (1 * -2 + p * -2) + p + -1 -6 + 5p = (-2 + -2p) + p + -1 Reorder the terms: -6 + 5p = -2 + -1 + -2p + p Combine like terms: -2 + -1 = -3 -6 + 5p = -3 + -2p + p Combine like terms: -2p + p = -1p -6 + 5p = -3 + -1p Solving -6 + 5p = -3 + -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. -6 + 5p + p = -3 + -1p + p Combine like terms: 5p + p = 6p -6 + 6p = -3 + -1p + p Combine like terms: -1p + p = 0 -6 + 6p = -3 + 0 -6 + 6p = -3 Add '6' to each side of the equation. -6 + 6 + 6p = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 6p = -3 + 6 6p = -3 + 6 Combine like terms: -3 + 6 = 3 6p = 3 Divide each side by '6'. p = 0.5 Simplifying p = 0.5
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