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Simplifying -1(10m + 4) + 9m = -4(1 + 10m) + -10m Reorder the terms: -1(4 + 10m) + 9m = -4(1 + 10m) + -10m (4 * -1 + 10m * -1) + 9m = -4(1 + 10m) + -10m (-4 + -10m) + 9m = -4(1 + 10m) + -10m Combine like terms: -10m + 9m = -1m -4 + -1m = -4(1 + 10m) + -10m -4 + -1m = (1 * -4 + 10m * -4) + -10m -4 + -1m = (-4 + -40m) + -10m Combine like terms: -40m + -10m = -50m -4 + -1m = -4 + -50m Add '4' to each side of the equation. -4 + 4 + -1m = -4 + 4 + -50m Combine like terms: -4 + 4 = 0 0 + -1m = -4 + 4 + -50m -1m = -4 + 4 + -50m Combine like terms: -4 + 4 = 0 -1m = 0 + -50m -1m = -50m Solving -1m = -50m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '50m' to each side of the equation. -1m + 50m = -50m + 50m Combine like terms: -1m + 50m = 49m 49m = -50m + 50m Combine like terms: -50m + 50m = 0 49m = 0 Divide each side by '49'. m = 0 Simplifying m = 0
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