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Simplifying -12(3 + 7m) + 4 = 10(-5m + -10) (3 * -12 + 7m * -12) + 4 = 10(-5m + -10) (-36 + -84m) + 4 = 10(-5m + -10) Reorder the terms: -36 + 4 + -84m = 10(-5m + -10) Combine like terms: -36 + 4 = -32 -32 + -84m = 10(-5m + -10) Reorder the terms: -32 + -84m = 10(-10 + -5m) -32 + -84m = (-10 * 10 + -5m * 10) -32 + -84m = (-100 + -50m) Solving -32 + -84m = -100 + -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. -32 + -84m + 50m = -100 + -50m + 50m Combine like terms: -84m + 50m = -34m -32 + -34m = -100 + -50m + 50m Combine like terms: -50m + 50m = 0 -32 + -34m = -100 + 0 -32 + -34m = -100 Add '32' to each side of the equation. -32 + 32 + -34m = -100 + 32 Combine like terms: -32 + 32 = 0 0 + -34m = -100 + 32 -34m = -100 + 32 Combine like terms: -100 + 32 = -68 -34m = -68 Divide each side by '-34'. m = 2 Simplifying m = 2
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