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Simplifying -2(p + -3) + -7 = 10 + -1(p + -7) Reorder the terms: -2(-3 + p) + -7 = 10 + -1(p + -7) (-3 * -2 + p * -2) + -7 = 10 + -1(p + -7) (6 + -2p) + -7 = 10 + -1(p + -7) Reorder the terms: 6 + -7 + -2p = 10 + -1(p + -7) Combine like terms: 6 + -7 = -1 -1 + -2p = 10 + -1(p + -7) Reorder the terms: -1 + -2p = 10 + -1(-7 + p) -1 + -2p = 10 + (-7 * -1 + p * -1) -1 + -2p = 10 + (7 + -1p) Combine like terms: 10 + 7 = 17 -1 + -2p = 17 + -1p Solving -1 + -2p = 17 + -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. -1 + -2p + p = 17 + -1p + p Combine like terms: -2p + p = -1p -1 + -1p = 17 + -1p + p Combine like terms: -1p + p = 0 -1 + -1p = 17 + 0 -1 + -1p = 17 Add '1' to each side of the equation. -1 + 1 + -1p = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = 17 + 1 -1p = 17 + 1 Combine like terms: 17 + 1 = 18 -1p = 18 Divide each side by '-1'. p = -18 Simplifying p = -18
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