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Simplifying -40 + 2p = 7p + -8(-8 + -1p) -40 + 2p = 7p + (-8 * -8 + -1p * -8) -40 + 2p = 7p + (64 + 8p) Reorder the terms: -40 + 2p = 64 + 7p + 8p Combine like terms: 7p + 8p = 15p -40 + 2p = 64 + 15p Solving -40 + 2p = 64 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -40 + 2p + -15p = 64 + 15p + -15p Combine like terms: 2p + -15p = -13p -40 + -13p = 64 + 15p + -15p Combine like terms: 15p + -15p = 0 -40 + -13p = 64 + 0 -40 + -13p = 64 Add '40' to each side of the equation. -40 + 40 + -13p = 64 + 40 Combine like terms: -40 + 40 = 0 0 + -13p = 64 + 40 -13p = 64 + 40 Combine like terms: 64 + 40 = 104 -13p = 104 Divide each side by '-13'. p = -8 Simplifying p = -8
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