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Simplifying -175 = 5p + -4(-2p + 8) Reorder the terms: -175 = 5p + -4(8 + -2p) -175 = 5p + (8 * -4 + -2p * -4) -175 = 5p + (-32 + 8p) Reorder the terms: -175 = -32 + 5p + 8p Combine like terms: 5p + 8p = 13p -175 = -32 + 13p Solving -175 = -32 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. -175 + -13p = -32 + 13p + -13p Combine like terms: 13p + -13p = 0 -175 + -13p = -32 + 0 -175 + -13p = -32 Add '175' to each side of the equation. -175 + 175 + -13p = -32 + 175 Combine like terms: -175 + 175 = 0 0 + -13p = -32 + 175 -13p = -32 + 175 Combine like terms: -32 + 175 = 143 -13p = 143 Divide each side by '-13'. p = -11 Simplifying p = -11
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