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Simplifying -1(-6 + -7m) = 5m + -7(-3 + -1m) (-6 * -1 + -7m * -1) = 5m + -7(-3 + -1m) (6 + 7m) = 5m + -7(-3 + -1m) 6 + 7m = 5m + (-3 * -7 + -1m * -7) 6 + 7m = 5m + (21 + 7m) Reorder the terms: 6 + 7m = 21 + 5m + 7m Combine like terms: 5m + 7m = 12m 6 + 7m = 21 + 12m Solving 6 + 7m = 21 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 6 + 7m + -12m = 21 + 12m + -12m Combine like terms: 7m + -12m = -5m 6 + -5m = 21 + 12m + -12m Combine like terms: 12m + -12m = 0 6 + -5m = 21 + 0 6 + -5m = 21 Add '-6' to each side of the equation. 6 + -6 + -5m = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 21 + -6 -5m = 21 + -6 Combine like terms: 21 + -6 = 15 -5m = 15 Divide each side by '-5'. m = -3 Simplifying m = -3
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