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Simplifying 9(p + -1) + -7p + 2 = p + -15 Reorder the terms: 9(-1 + p) + -7p + 2 = p + -15 (-1 * 9 + p * 9) + -7p + 2 = p + -15 (-9 + 9p) + -7p + 2 = p + -15 Reorder the terms: -9 + 2 + 9p + -7p = p + -15 Combine like terms: -9 + 2 = -7 -7 + 9p + -7p = p + -15 Combine like terms: 9p + -7p = 2p -7 + 2p = p + -15 Reorder the terms: -7 + 2p = -15 + p Solving -7 + 2p = -15 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -7 + 2p + -1p = -15 + p + -1p Combine like terms: 2p + -1p = 1p -7 + 1p = -15 + p + -1p Combine like terms: p + -1p = 0 -7 + 1p = -15 + 0 -7 + 1p = -15 Add '7' to each side of the equation. -7 + 7 + 1p = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 1p = -15 + 7 1p = -15 + 7 Combine like terms: -15 + 7 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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