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Simplifying -9(9 + 3m) + 7 = 46 + -7m (9 * -9 + 3m * -9) + 7 = 46 + -7m (-81 + -27m) + 7 = 46 + -7m Reorder the terms: -81 + 7 + -27m = 46 + -7m Combine like terms: -81 + 7 = -74 -74 + -27m = 46 + -7m Solving -74 + -27m = 46 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -74 + -27m + 7m = 46 + -7m + 7m Combine like terms: -27m + 7m = -20m -74 + -20m = 46 + -7m + 7m Combine like terms: -7m + 7m = 0 -74 + -20m = 46 + 0 -74 + -20m = 46 Add '74' to each side of the equation. -74 + 74 + -20m = 46 + 74 Combine like terms: -74 + 74 = 0 0 + -20m = 46 + 74 -20m = 46 + 74 Combine like terms: 46 + 74 = 120 -20m = 120 Divide each side by '-20'. m = -6 Simplifying m = -6
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