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Simplifying 7(1 + -5m) + -6 = 1 + -7m (1 * 7 + -5m * 7) + -6 = 1 + -7m (7 + -35m) + -6 = 1 + -7m Reorder the terms: 7 + -6 + -35m = 1 + -7m Combine like terms: 7 + -6 = 1 1 + -35m = 1 + -7m Add '-1' to each side of the equation. 1 + -1 + -35m = 1 + -1 + -7m Combine like terms: 1 + -1 = 0 0 + -35m = 1 + -1 + -7m -35m = 1 + -1 + -7m Combine like terms: 1 + -1 = 0 -35m = 0 + -7m -35m = -7m Solving -35m = -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. -35m + 7m = -7m + 7m Combine like terms: -35m + 7m = -28m -28m = -7m + 7m Combine like terms: -7m + 7m = 0 -28m = 0 Divide each side by '-28'. m = 0 Simplifying m = 0
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