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Simplifying 34 + -5(2 + p) = p + 6(4 + -1p) 34 + (2 * -5 + p * -5) = p + 6(4 + -1p) 34 + (-10 + -5p) = p + 6(4 + -1p) Combine like terms: 34 + -10 = 24 24 + -5p = p + 6(4 + -1p) 24 + -5p = p + (4 * 6 + -1p * 6) 24 + -5p = p + (24 + -6p) Reorder the terms: 24 + -5p = 24 + p + -6p Combine like terms: p + -6p = -5p 24 + -5p = 24 + -5p Add '-24' to each side of the equation. 24 + -24 + -5p = 24 + -24 + -5p Combine like terms: 24 + -24 = 0 0 + -5p = 24 + -24 + -5p -5p = 24 + -24 + -5p Combine like terms: 24 + -24 = 0 -5p = 0 + -5p -5p = -5p Add '5p' to each side of the equation. -5p + 5p = -5p + 5p Combine like terms: -5p + 5p = 0 0 = -5p + 5p Combine like terms: -5p + 5p = 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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