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Simplifying -2(p + 2) + -1 = -7(p + -5) Reorder the terms: -2(2 + p) + -1 = -7(p + -5) (2 * -2 + p * -2) + -1 = -7(p + -5) (-4 + -2p) + -1 = -7(p + -5) Reorder the terms: -4 + -1 + -2p = -7(p + -5) Combine like terms: -4 + -1 = -5 -5 + -2p = -7(p + -5) Reorder the terms: -5 + -2p = -7(-5 + p) -5 + -2p = (-5 * -7 + p * -7) -5 + -2p = (35 + -7p) Solving -5 + -2p = 35 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -5 + -2p + 7p = 35 + -7p + 7p Combine like terms: -2p + 7p = 5p -5 + 5p = 35 + -7p + 7p Combine like terms: -7p + 7p = 0 -5 + 5p = 35 + 0 -5 + 5p = 35 Add '5' to each side of the equation. -5 + 5 + 5p = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 5p = 35 + 5 5p = 35 + 5 Combine like terms: 35 + 5 = 40 5p = 40 Divide each side by '5'. p = 8 Simplifying p = 8
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