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Simplifying 5(2p + 7) + -1p = 3(3p + 1) Reorder the terms: 5(7 + 2p) + -1p = 3(3p + 1) (7 * 5 + 2p * 5) + -1p = 3(3p + 1) (35 + 10p) + -1p = 3(3p + 1) Combine like terms: 10p + -1p = 9p 35 + 9p = 3(3p + 1) Reorder the terms: 35 + 9p = 3(1 + 3p) 35 + 9p = (1 * 3 + 3p * 3) 35 + 9p = (3 + 9p) Add '-9p' to each side of the equation. 35 + 9p + -9p = 3 + 9p + -9p Combine like terms: 9p + -9p = 0 35 + 0 = 3 + 9p + -9p 35 = 3 + 9p + -9p Combine like terms: 9p + -9p = 0 35 = 3 + 0 35 = 3 Solving 35 = 3 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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