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Simplifying 6(p + 3) = 5(p + -2) + p + 28 Reorder the terms: 6(3 + p) = 5(p + -2) + p + 28 (3 * 6 + p * 6) = 5(p + -2) + p + 28 (18 + 6p) = 5(p + -2) + p + 28 Reorder the terms: 18 + 6p = 5(-2 + p) + p + 28 18 + 6p = (-2 * 5 + p * 5) + p + 28 18 + 6p = (-10 + 5p) + p + 28 Reorder the terms: 18 + 6p = -10 + 28 + 5p + p Combine like terms: -10 + 28 = 18 18 + 6p = 18 + 5p + p Combine like terms: 5p + p = 6p 18 + 6p = 18 + 6p Add '-18' to each side of the equation. 18 + -18 + 6p = 18 + -18 + 6p Combine like terms: 18 + -18 = 0 0 + 6p = 18 + -18 + 6p 6p = 18 + -18 + 6p Combine like terms: 18 + -18 = 0 6p = 0 + 6p 6p = 6p Add '-6p' to each side of the equation. 6p + -6p = 6p + -6p Combine like terms: 6p + -6p = 0 0 = 6p + -6p Combine like terms: 6p + -6p = 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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