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Simplifying 5p + 2(p + -1) = 6p + (p + -1) Reorder the terms: 5p + 2(-1 + p) = 6p + (p + -1) 5p + (-1 * 2 + p * 2) = 6p + (p + -1) 5p + (-2 + 2p) = 6p + (p + -1) Reorder the terms: -2 + 5p + 2p = 6p + (p + -1) Combine like terms: 5p + 2p = 7p -2 + 7p = 6p + (p + -1) Reorder the terms: -2 + 7p = 6p + (-1 + p) Remove parenthesis around (-1 + p) -2 + 7p = 6p + -1 + p Reorder the terms: -2 + 7p = -1 + 6p + p Combine like terms: 6p + p = 7p -2 + 7p = -1 + 7p Add '-7p' to each side of the equation. -2 + 7p + -7p = -1 + 7p + -7p Combine like terms: 7p + -7p = 0 -2 + 0 = -1 + 7p + -7p -2 = -1 + 7p + -7p Combine like terms: 7p + -7p = 0 -2 = -1 + 0 -2 = -1 Solving -2 = -1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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