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Simplifying -7(1 + -4m) = 3(3k + -9) (1 * -7 + -4m * -7) = 3(3k + -9) (-7 + 28m) = 3(3k + -9) Reorder the terms: -7 + 28m = 3(-9 + 3k) -7 + 28m = (-9 * 3 + 3k * 3) -7 + 28m = (-27 + 9k) Solving -7 + 28m = -27 + 9k 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 = -27 + 7 + 9k Combine like terms: -7 + 7 = 0 0 + 28m = -27 + 7 + 9k 28m = -27 + 7 + 9k Combine like terms: -27 + 7 = -20 28m = -20 + 9k Divide each side by '28'. m = -0.7142857143 + 0.3214285714k Simplifying m = -0.7142857143 + 0.3214285714k
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