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Simplifying 4(p + 7) + -1(-2 + -1p) = 5(p + 3) + 11 Reorder the terms: 4(7 + p) + -1(-2 + -1p) = 5(p + 3) + 11 (7 * 4 + p * 4) + -1(-2 + -1p) = 5(p + 3) + 11 (28 + 4p) + -1(-2 + -1p) = 5(p + 3) + 11 28 + 4p + (-2 * -1 + -1p * -1) = 5(p + 3) + 11 28 + 4p + (2 + 1p) = 5(p + 3) + 11 Reorder the terms: 28 + 2 + 4p + 1p = 5(p + 3) + 11 Combine like terms: 28 + 2 = 30 30 + 4p + 1p = 5(p + 3) + 11 Combine like terms: 4p + 1p = 5p 30 + 5p = 5(p + 3) + 11 Reorder the terms: 30 + 5p = 5(3 + p) + 11 30 + 5p = (3 * 5 + p * 5) + 11 30 + 5p = (15 + 5p) + 11 Reorder the terms: 30 + 5p = 15 + 11 + 5p Combine like terms: 15 + 11 = 26 30 + 5p = 26 + 5p Add '-5p' to each side of the equation. 30 + 5p + -5p = 26 + 5p + -5p Combine like terms: 5p + -5p = 0 30 + 0 = 26 + 5p + -5p 30 = 26 + 5p + -5p Combine like terms: 5p + -5p = 0 30 = 26 + 0 30 = 26 Solving 30 = 26 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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