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Simplifying 3(5p + -7) = 5p + -1(7 + -10p) Reorder the terms: 3(-7 + 5p) = 5p + -1(7 + -10p) (-7 * 3 + 5p * 3) = 5p + -1(7 + -10p) (-21 + 15p) = 5p + -1(7 + -10p) -21 + 15p = 5p + (7 * -1 + -10p * -1) -21 + 15p = 5p + (-7 + 10p) Reorder the terms: -21 + 15p = -7 + 5p + 10p Combine like terms: 5p + 10p = 15p -21 + 15p = -7 + 15p Add '-15p' to each side of the equation. -21 + 15p + -15p = -7 + 15p + -15p Combine like terms: 15p + -15p = 0 -21 + 0 = -7 + 15p + -15p -21 = -7 + 15p + -15p Combine like terms: 15p + -15p = 0 -21 = -7 + 0 -21 = -7 Solving -21 = -7 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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