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Simplifying 7(1 + -7m) = 7 + -1m (1 * 7 + -7m * 7) = 7 + -1m (7 + -49m) = 7 + -1m Add '-7' to each side of the equation. 7 + -7 + -49m = 7 + -7 + -1m Combine like terms: 7 + -7 = 0 0 + -49m = 7 + -7 + -1m -49m = 7 + -7 + -1m Combine like terms: 7 + -7 = 0 -49m = 0 + -1m -49m = -1m Solving -49m = -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -49m + m = -1m + m Combine like terms: -49m + m = -48m -48m = -1m + m Combine like terms: -1m + m = 0 -48m = 0 Divide each side by '-48'. m = 0 Simplifying m = 0
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