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Simplifying -7(p + 1) + -1p + -8 = -8(p + 3) + 9 Reorder the terms: -7(1 + p) + -1p + -8 = -8(p + 3) + 9 (1 * -7 + p * -7) + -1p + -8 = -8(p + 3) + 9 (-7 + -7p) + -1p + -8 = -8(p + 3) + 9 Reorder the terms: -7 + -8 + -7p + -1p = -8(p + 3) + 9 Combine like terms: -7 + -8 = -15 -15 + -7p + -1p = -8(p + 3) + 9 Combine like terms: -7p + -1p = -8p -15 + -8p = -8(p + 3) + 9 Reorder the terms: -15 + -8p = -8(3 + p) + 9 -15 + -8p = (3 * -8 + p * -8) + 9 -15 + -8p = (-24 + -8p) + 9 Reorder the terms: -15 + -8p = -24 + 9 + -8p Combine like terms: -24 + 9 = -15 -15 + -8p = -15 + -8p Add '15' to each side of the equation. -15 + 15 + -8p = -15 + 15 + -8p Combine like terms: -15 + 15 = 0 0 + -8p = -15 + 15 + -8p -8p = -15 + 15 + -8p Combine like terms: -15 + 15 = 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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