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Simplifying 8 + 3(p + -5) = 8p + -1(5p + 7) Reorder the terms: 8 + 3(-5 + p) = 8p + -1(5p + 7) 8 + (-5 * 3 + p * 3) = 8p + -1(5p + 7) 8 + (-15 + 3p) = 8p + -1(5p + 7) Combine like terms: 8 + -15 = -7 -7 + 3p = 8p + -1(5p + 7) Reorder the terms: -7 + 3p = 8p + -1(7 + 5p) -7 + 3p = 8p + (7 * -1 + 5p * -1) -7 + 3p = 8p + (-7 + -5p) Reorder the terms: -7 + 3p = -7 + 8p + -5p Combine like terms: 8p + -5p = 3p -7 + 3p = -7 + 3p Add '7' to each side of the equation. -7 + 7 + 3p = -7 + 7 + 3p Combine like terms: -7 + 7 = 0 0 + 3p = -7 + 7 + 3p 3p = -7 + 7 + 3p Combine like terms: -7 + 7 = 0 3p = 0 + 3p 3p = 3p Add '-3p' to each side of the equation. 3p + -3p = 3p + -3p Combine like terms: 3p + -3p = 0 0 = 3p + -3p Combine like terms: 3p + -3p = 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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