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Simplifying -4(p + 4) + -1p + -2 = -5(p + 5) + 7 Reorder the terms: -4(4 + p) + -1p + -2 = -5(p + 5) + 7 (4 * -4 + p * -4) + -1p + -2 = -5(p + 5) + 7 (-16 + -4p) + -1p + -2 = -5(p + 5) + 7 Reorder the terms: -16 + -2 + -4p + -1p = -5(p + 5) + 7 Combine like terms: -16 + -2 = -18 -18 + -4p + -1p = -5(p + 5) + 7 Combine like terms: -4p + -1p = -5p -18 + -5p = -5(p + 5) + 7 Reorder the terms: -18 + -5p = -5(5 + p) + 7 -18 + -5p = (5 * -5 + p * -5) + 7 -18 + -5p = (-25 + -5p) + 7 Reorder the terms: -18 + -5p = -25 + 7 + -5p Combine like terms: -25 + 7 = -18 -18 + -5p = -18 + -5p Add '18' to each side of the equation. -18 + 18 + -5p = -18 + 18 + -5p Combine like terms: -18 + 18 = 0 0 + -5p = -18 + 18 + -5p -5p = -18 + 18 + -5p Combine like terms: -18 + 18 = 0 -5p = 0 + -5p -5p = -5p Add '5p' to each side of the equation. -5p + 5p = -5p + 5p Combine like terms: -5p + 5p = 0 0 = -5p + 5p Combine like terms: -5p + 5p = 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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