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Simplifying -7(p + 1) + -1p + -12 = -8(p + 3) + 5 Reorder the terms: -7(1 + p) + -1p + -12 = -8(p + 3) + 5 (1 * -7 + p * -7) + -1p + -12 = -8(p + 3) + 5 (-7 + -7p) + -1p + -12 = -8(p + 3) + 5 Reorder the terms: -7 + -12 + -7p + -1p = -8(p + 3) + 5 Combine like terms: -7 + -12 = -19 -19 + -7p + -1p = -8(p + 3) + 5 Combine like terms: -7p + -1p = -8p -19 + -8p = -8(p + 3) + 5 Reorder the terms: -19 + -8p = -8(3 + p) + 5 -19 + -8p = (3 * -8 + p * -8) + 5 -19 + -8p = (-24 + -8p) + 5 Reorder the terms: -19 + -8p = -24 + 5 + -8p Combine like terms: -24 + 5 = -19 -19 + -8p = -19 + -8p Add '19' to each side of the equation. -19 + 19 + -8p = -19 + 19 + -8p Combine like terms: -19 + 19 = 0 0 + -8p = -19 + 19 + -8p -8p = -19 + 19 + -8p Combine like terms: -19 + 19 = 0 -8p = 0 + -8p -8p = -8p Add '8p' to each side of the equation. -8p + 8p = -8p + 8p Combine like terms: -8p + 8p = 0 0 = -8p + 8p Combine like terms: -8p + 8p = 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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