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Simplifying p + 2(p + 0.5) = 9 + -1(4 + -3p) Reorder the terms: p + 2(0.5 + p) = 9 + -1(4 + -3p) p + (0.5 * 2 + p * 2) = 9 + -1(4 + -3p) p + (1 + 2p) = 9 + -1(4 + -3p) Reorder the terms: 1 + p + 2p = 9 + -1(4 + -3p) Combine like terms: p + 2p = 3p 1 + 3p = 9 + -1(4 + -3p) 1 + 3p = 9 + (4 * -1 + -3p * -1) 1 + 3p = 9 + (-4 + 3p) Combine like terms: 9 + -4 = 5 1 + 3p = 5 + 3p Add '-3p' to each side of the equation. 1 + 3p + -3p = 5 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 0 = 5 + 3p + -3p 1 = 5 + 3p + -3p Combine like terms: 3p + -3p = 0 1 = 5 + 0 1 = 5 Solving 1 = 5 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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