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Simplifying 4(p + 2) = 3(p + -6) + p + 26 Reorder the terms: 4(2 + p) = 3(p + -6) + p + 26 (2 * 4 + p * 4) = 3(p + -6) + p + 26 (8 + 4p) = 3(p + -6) + p + 26 Reorder the terms: 8 + 4p = 3(-6 + p) + p + 26 8 + 4p = (-6 * 3 + p * 3) + p + 26 8 + 4p = (-18 + 3p) + p + 26 Reorder the terms: 8 + 4p = -18 + 26 + 3p + p Combine like terms: -18 + 26 = 8 8 + 4p = 8 + 3p + p Combine like terms: 3p + p = 4p 8 + 4p = 8 + 4p Add '-8' to each side of the equation. 8 + -8 + 4p = 8 + -8 + 4p Combine like terms: 8 + -8 = 0 0 + 4p = 8 + -8 + 4p 4p = 8 + -8 + 4p Combine like terms: 8 + -8 = 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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