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Simplifying -8(p + 1) + -1p + -12 = -9(p + 4) + 16 Reorder the terms: -8(1 + p) + -1p + -12 = -9(p + 4) + 16 (1 * -8 + p * -8) + -1p + -12 = -9(p + 4) + 16 (-8 + -8p) + -1p + -12 = -9(p + 4) + 16 Reorder the terms: -8 + -12 + -8p + -1p = -9(p + 4) + 16 Combine like terms: -8 + -12 = -20 -20 + -8p + -1p = -9(p + 4) + 16 Combine like terms: -8p + -1p = -9p -20 + -9p = -9(p + 4) + 16 Reorder the terms: -20 + -9p = -9(4 + p) + 16 -20 + -9p = (4 * -9 + p * -9) + 16 -20 + -9p = (-36 + -9p) + 16 Reorder the terms: -20 + -9p = -36 + 16 + -9p Combine like terms: -36 + 16 = -20 -20 + -9p = -20 + -9p Add '20' to each side of the equation. -20 + 20 + -9p = -20 + 20 + -9p Combine like terms: -20 + 20 = 0 0 + -9p = -20 + 20 + -9p -9p = -20 + 20 + -9p Combine like terms: -20 + 20 = 0 -9p = 0 + -9p -9p = -9p Add '9p' to each side of the equation. -9p + 9p = -9p + 9p Combine like terms: -9p + 9p = 0 0 = -9p + 9p Combine like terms: -9p + 9p = 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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