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Simplifying -4(p + 1) + -1p + -12 = -5(p + 5) + 9 Reorder the terms: -4(1 + p) + -1p + -12 = -5(p + 5) + 9 (1 * -4 + p * -4) + -1p + -12 = -5(p + 5) + 9 (-4 + -4p) + -1p + -12 = -5(p + 5) + 9 Reorder the terms: -4 + -12 + -4p + -1p = -5(p + 5) + 9 Combine like terms: -4 + -12 = -16 -16 + -4p + -1p = -5(p + 5) + 9 Combine like terms: -4p + -1p = -5p -16 + -5p = -5(p + 5) + 9 Reorder the terms: -16 + -5p = -5(5 + p) + 9 -16 + -5p = (5 * -5 + p * -5) + 9 -16 + -5p = (-25 + -5p) + 9 Reorder the terms: -16 + -5p = -25 + 9 + -5p Combine like terms: -25 + 9 = -16 -16 + -5p = -16 + -5p Add '16' to each side of the equation. -16 + 16 + -5p = -16 + 16 + -5p Combine like terms: -16 + 16 = 0 0 + -5p = -16 + 16 + -5p -5p = -16 + 16 + -5p Combine like terms: -16 + 16 = 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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