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Simplifying -6(p + 1) + -1p + -9 = -7(p + 5) + 20 Reorder the terms: -6(1 + p) + -1p + -9 = -7(p + 5) + 20 (1 * -6 + p * -6) + -1p + -9 = -7(p + 5) + 20 (-6 + -6p) + -1p + -9 = -7(p + 5) + 20 Reorder the terms: -6 + -9 + -6p + -1p = -7(p + 5) + 20 Combine like terms: -6 + -9 = -15 -15 + -6p + -1p = -7(p + 5) + 20 Combine like terms: -6p + -1p = -7p -15 + -7p = -7(p + 5) + 20 Reorder the terms: -15 + -7p = -7(5 + p) + 20 -15 + -7p = (5 * -7 + p * -7) + 20 -15 + -7p = (-35 + -7p) + 20 Reorder the terms: -15 + -7p = -35 + 20 + -7p Combine like terms: -35 + 20 = -15 -15 + -7p = -15 + -7p Add '15' to each side of the equation. -15 + 15 + -7p = -15 + 15 + -7p Combine like terms: -15 + 15 = 0 0 + -7p = -15 + 15 + -7p -7p = -15 + 15 + -7p Combine like terms: -15 + 15 = 0 -7p = 0 + -7p -7p = -7p Add '7p' to each side of the equation. -7p + 7p = -7p + 7p Combine like terms: -7p + 7p = 0 0 = -7p + 7p Combine like terms: -7p + 7p = 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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