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Simplifying -5(p + 1) + -1p + -14 = -6(p + 5) + 11 Reorder the terms: -5(1 + p) + -1p + -14 = -6(p + 5) + 11 (1 * -5 + p * -5) + -1p + -14 = -6(p + 5) + 11 (-5 + -5p) + -1p + -14 = -6(p + 5) + 11 Reorder the terms: -5 + -14 + -5p + -1p = -6(p + 5) + 11 Combine like terms: -5 + -14 = -19 -19 + -5p + -1p = -6(p + 5) + 11 Combine like terms: -5p + -1p = -6p -19 + -6p = -6(p + 5) + 11 Reorder the terms: -19 + -6p = -6(5 + p) + 11 -19 + -6p = (5 * -6 + p * -6) + 11 -19 + -6p = (-30 + -6p) + 11 Reorder the terms: -19 + -6p = -30 + 11 + -6p Combine like terms: -30 + 11 = -19 -19 + -6p = -19 + -6p Add '19' to each side of the equation. -19 + 19 + -6p = -19 + 19 + -6p Combine like terms: -19 + 19 = 0 0 + -6p = -19 + 19 + -6p -6p = -19 + 19 + -6p Combine like terms: -19 + 19 = 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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