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Simplifying -6(p + 2) + -1p + -4 = -7(p + 3) + 5 Reorder the terms: -6(2 + p) + -1p + -4 = -7(p + 3) + 5 (2 * -6 + p * -6) + -1p + -4 = -7(p + 3) + 5 (-12 + -6p) + -1p + -4 = -7(p + 3) + 5 Reorder the terms: -12 + -4 + -6p + -1p = -7(p + 3) + 5 Combine like terms: -12 + -4 = -16 -16 + -6p + -1p = -7(p + 3) + 5 Combine like terms: -6p + -1p = -7p -16 + -7p = -7(p + 3) + 5 Reorder the terms: -16 + -7p = -7(3 + p) + 5 -16 + -7p = (3 * -7 + p * -7) + 5 -16 + -7p = (-21 + -7p) + 5 Reorder the terms: -16 + -7p = -21 + 5 + -7p Combine like terms: -21 + 5 = -16 -16 + -7p = -16 + -7p Add '16' to each side of the equation. -16 + 16 + -7p = -16 + 16 + -7p Combine like terms: -16 + 16 = 0 0 + -7p = -16 + 16 + -7p -7p = -16 + 16 + -7p Combine like terms: -16 + 16 = 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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