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Simplifying 8(p + 7) + -6(7 + -1p) = 14p + 7 Reorder the terms: 8(7 + p) + -6(7 + -1p) = 14p + 7 (7 * 8 + p * 8) + -6(7 + -1p) = 14p + 7 (56 + 8p) + -6(7 + -1p) = 14p + 7 56 + 8p + (7 * -6 + -1p * -6) = 14p + 7 56 + 8p + (-42 + 6p) = 14p + 7 Reorder the terms: 56 + -42 + 8p + 6p = 14p + 7 Combine like terms: 56 + -42 = 14 14 + 8p + 6p = 14p + 7 Combine like terms: 8p + 6p = 14p 14 + 14p = 14p + 7 Reorder the terms: 14 + 14p = 7 + 14p Add '-14p' to each side of the equation. 14 + 14p + -14p = 7 + 14p + -14p Combine like terms: 14p + -14p = 0 14 + 0 = 7 + 14p + -14p 14 = 7 + 14p + -14p Combine like terms: 14p + -14p = 0 14 = 7 + 0 14 = 7 Solving 14 = 7 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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