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Simplifying 5(p + 2) + 6(-3 + -1p) = 5(p + 2) + 6(-3 + -1p) Reorder the terms: 5(2 + p) + 6(-3 + -1p) = 5(p + 2) + 6(-3 + -1p) (2 * 5 + p * 5) + 6(-3 + -1p) = 5(p + 2) + 6(-3 + -1p) (10 + 5p) + 6(-3 + -1p) = 5(p + 2) + 6(-3 + -1p) 10 + 5p + (-3 * 6 + -1p * 6) = 5(p + 2) + 6(-3 + -1p) 10 + 5p + (-18 + -6p) = 5(p + 2) + 6(-3 + -1p) Reorder the terms: 10 + -18 + 5p + -6p = 5(p + 2) + 6(-3 + -1p) Combine like terms: 10 + -18 = -8 -8 + 5p + -6p = 5(p + 2) + 6(-3 + -1p) Combine like terms: 5p + -6p = -1p -8 + -1p = 5(p + 2) + 6(-3 + -1p) Reorder the terms: -8 + -1p = 5(2 + p) + 6(-3 + -1p) -8 + -1p = (2 * 5 + p * 5) + 6(-3 + -1p) -8 + -1p = (10 + 5p) + 6(-3 + -1p) -8 + -1p = 10 + 5p + (-3 * 6 + -1p * 6) -8 + -1p = 10 + 5p + (-18 + -6p) Reorder the terms: -8 + -1p = 10 + -18 + 5p + -6p Combine like terms: 10 + -18 = -8 -8 + -1p = -8 + 5p + -6p Combine like terms: 5p + -6p = -1p -8 + -1p = -8 + -1p Add '8' to each side of the equation. -8 + 8 + -1p = -8 + 8 + -1p Combine like terms: -8 + 8 = 0 0 + -1p = -8 + 8 + -1p -1p = -8 + 8 + -1p Combine like terms: -8 + 8 = 0 -1p = 0 + -1p -1p = -1p Add 'p' to each side of the equation. -1p + p = -1p + p Combine like terms: -1p + p = 0 0 = -1p + p Combine like terms: -1p + p = 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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