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Simplifying -4(p + 1) + -1p + -7 = -5(p + 5) + 14 Reorder the terms: -4(1 + p) + -1p + -7 = -5(p + 5) + 14 (1 * -4 + p * -4) + -1p + -7 = -5(p + 5) + 14 (-4 + -4p) + -1p + -7 = -5(p + 5) + 14 Reorder the terms: -4 + -7 + -4p + -1p = -5(p + 5) + 14 Combine like terms: -4 + -7 = -11 -11 + -4p + -1p = -5(p + 5) + 14 Combine like terms: -4p + -1p = -5p -11 + -5p = -5(p + 5) + 14 Reorder the terms: -11 + -5p = -5(5 + p) + 14 -11 + -5p = (5 * -5 + p * -5) + 14 -11 + -5p = (-25 + -5p) + 14 Reorder the terms: -11 + -5p = -25 + 14 + -5p Combine like terms: -25 + 14 = -11 -11 + -5p = -11 + -5p Add '11' to each side of the equation. -11 + 11 + -5p = -11 + 11 + -5p Combine like terms: -11 + 11 = 0 0 + -5p = -11 + 11 + -5p -5p = -11 + 11 + -5p Combine like terms: -11 + 11 = 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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