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Simplifying 1p + 5(1 + -1p) = p + 5 + -5p 1p + (1 * 5 + -1p * 5) = p + 5 + -5p 1p + (5 + -5p) = p + 5 + -5p Reorder the terms: 5 + 1p + -5p = p + 5 + -5p Combine like terms: 1p + -5p = -4p 5 + -4p = p + 5 + -5p Reorder the terms: 5 + -4p = 5 + p + -5p Combine like terms: p + -5p = -4p 5 + -4p = 5 + -4p Add '-5' to each side of the equation. 5 + -5 + -4p = 5 + -5 + -4p Combine like terms: 5 + -5 = 0 0 + -4p = 5 + -5 + -4p -4p = 5 + -5 + -4p Combine like terms: 5 + -5 = 0 -4p = 0 + -4p -4p = -4p Add '4p' to each side of the equation. -4p + 4p = -4p + 4p Combine like terms: -4p + 4p = 0 0 = -4p + 4p Combine like terms: -4p + 4p = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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