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Simplifying 7 + 2(p + -6) = 6(p + 3) + -4p + 1 Reorder the terms: 7 + 2(-6 + p) = 6(p + 3) + -4p + 1 7 + (-6 * 2 + p * 2) = 6(p + 3) + -4p + 1 7 + (-12 + 2p) = 6(p + 3) + -4p + 1 Combine like terms: 7 + -12 = -5 -5 + 2p = 6(p + 3) + -4p + 1 Reorder the terms: -5 + 2p = 6(3 + p) + -4p + 1 -5 + 2p = (3 * 6 + p * 6) + -4p + 1 -5 + 2p = (18 + 6p) + -4p + 1 Reorder the terms: -5 + 2p = 18 + 1 + 6p + -4p Combine like terms: 18 + 1 = 19 -5 + 2p = 19 + 6p + -4p Combine like terms: 6p + -4p = 2p -5 + 2p = 19 + 2p Add '-2p' to each side of the equation. -5 + 2p + -2p = 19 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 + 0 = 19 + 2p + -2p -5 = 19 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 = 19 + 0 -5 = 19 Solving -5 = 19 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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