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Simplifying -4(p + 2) + -1p + -5 = -5(p + 4) + 7 Reorder the terms: -4(2 + p) + -1p + -5 = -5(p + 4) + 7 (2 * -4 + p * -4) + -1p + -5 = -5(p + 4) + 7 (-8 + -4p) + -1p + -5 = -5(p + 4) + 7 Reorder the terms: -8 + -5 + -4p + -1p = -5(p + 4) + 7 Combine like terms: -8 + -5 = -13 -13 + -4p + -1p = -5(p + 4) + 7 Combine like terms: -4p + -1p = -5p -13 + -5p = -5(p + 4) + 7 Reorder the terms: -13 + -5p = -5(4 + p) + 7 -13 + -5p = (4 * -5 + p * -5) + 7 -13 + -5p = (-20 + -5p) + 7 Reorder the terms: -13 + -5p = -20 + 7 + -5p Combine like terms: -20 + 7 = -13 -13 + -5p = -13 + -5p Add '13' to each side of the equation. -13 + 13 + -5p = -13 + 13 + -5p Combine like terms: -13 + 13 = 0 0 + -5p = -13 + 13 + -5p -5p = -13 + 13 + -5p Combine like terms: -13 + 13 = 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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