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Simplifying 3pm + -1 = 5(p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3mp = 5(p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3mp = 5(-1 + p) + -2(7 + -2p) -1 + 3mp = (-1 * 5 + p * 5) + -2(7 + -2p) -1 + 3mp = (-5 + 5p) + -2(7 + -2p) -1 + 3mp = -5 + 5p + (7 * -2 + -2p * -2) -1 + 3mp = -5 + 5p + (-14 + 4p) Reorder the terms: -1 + 3mp = -5 + -14 + 5p + 4p Combine like terms: -5 + -14 = -19 -1 + 3mp = -19 + 5p + 4p Combine like terms: 5p + 4p = 9p -1 + 3mp = -19 + 9p Solving -1 + 3mp = -19 + 9p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3mp = -19 + 1 + 9p Combine like terms: -1 + 1 = 0 0 + 3mp = -19 + 1 + 9p 3mp = -19 + 1 + 9p Combine like terms: -19 + 1 = -18 3mp = -18 + 9p Divide each side by '3p'. m = -6p-1 + 3 Simplifying m = -6p-1 + 3 Reorder the terms: m = 3 + -6p-1
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