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Simplifying -7(1 + -4m) = 13(3k + -9) (1 * -7 + -4m * -7) = 13(3k + -9) (-7 + 28m) = 13(3k + -9) Reorder the terms: -7 + 28m = 13(-9 + 3k) -7 + 28m = (-9 * 13 + 3k * 13) -7 + 28m = (-117 + 39k) Solving -7 + 28m = -117 + 39k Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 28m = -117 + 7 + 39k Combine like terms: -7 + 7 = 0 0 + 28m = -117 + 7 + 39k 28m = -117 + 7 + 39k Combine like terms: -117 + 7 = -110 28m = -110 + 39k Divide each side by '28'. m = -3.928571429 + 1.392857143k Simplifying m = -3.928571429 + 1.392857143k
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