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Simplifying 10p + -3 = 3(p + 2) + 7(p + 4) Reorder the terms: -3 + 10p = 3(p + 2) + 7(p + 4) Reorder the terms: -3 + 10p = 3(2 + p) + 7(p + 4) -3 + 10p = (2 * 3 + p * 3) + 7(p + 4) -3 + 10p = (6 + 3p) + 7(p + 4) Reorder the terms: -3 + 10p = 6 + 3p + 7(4 + p) -3 + 10p = 6 + 3p + (4 * 7 + p * 7) -3 + 10p = 6 + 3p + (28 + 7p) Reorder the terms: -3 + 10p = 6 + 28 + 3p + 7p Combine like terms: 6 + 28 = 34 -3 + 10p = 34 + 3p + 7p Combine like terms: 3p + 7p = 10p -3 + 10p = 34 + 10p Add '-10p' to each side of the equation. -3 + 10p + -10p = 34 + 10p + -10p Combine like terms: 10p + -10p = 0 -3 + 0 = 34 + 10p + -10p -3 = 34 + 10p + -10p Combine like terms: 10p + -10p = 0 -3 = 34 + 0 -3 = 34 Solving -3 = 34 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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