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Simplifying 3(p + 2) + 4 = 5p + -2(p + 6) Reorder the terms: 3(2 + p) + 4 = 5p + -2(p + 6) (2 * 3 + p * 3) + 4 = 5p + -2(p + 6) (6 + 3p) + 4 = 5p + -2(p + 6) Reorder the terms: 6 + 4 + 3p = 5p + -2(p + 6) Combine like terms: 6 + 4 = 10 10 + 3p = 5p + -2(p + 6) Reorder the terms: 10 + 3p = 5p + -2(6 + p) 10 + 3p = 5p + (6 * -2 + p * -2) 10 + 3p = 5p + (-12 + -2p) Reorder the terms: 10 + 3p = -12 + 5p + -2p Combine like terms: 5p + -2p = 3p 10 + 3p = -12 + 3p Add '-3p' to each side of the equation. 10 + 3p + -3p = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 10 + 0 = -12 + 3p + -3p 10 = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 10 = -12 + 0 10 = -12 Solving 10 = -12 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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