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Simplifying 5(p + 3) + 9 = 5(p + -2) + 6 Reorder the terms: 5(3 + p) + 9 = 5(p + -2) + 6 (3 * 5 + p * 5) + 9 = 5(p + -2) + 6 (15 + 5p) + 9 = 5(p + -2) + 6 Reorder the terms: 15 + 9 + 5p = 5(p + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5p = 5(p + -2) + 6 Reorder the terms: 24 + 5p = 5(-2 + p) + 6 24 + 5p = (-2 * 5 + p * 5) + 6 24 + 5p = (-10 + 5p) + 6 Reorder the terms: 24 + 5p = -10 + 6 + 5p Combine like terms: -10 + 6 = -4 24 + 5p = -4 + 5p Add '-5p' to each side of the equation. 24 + 5p + -5p = -4 + 5p + -5p Combine like terms: 5p + -5p = 0 24 + 0 = -4 + 5p + -5p 24 = -4 + 5p + -5p Combine like terms: 5p + -5p = 0 24 = -4 + 0 24 = -4 Solving 24 = -4 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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