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Simplifying -1(1 + 7m) + -6(-7 + -1m) = 36 (1 * -1 + 7m * -1) + -6(-7 + -1m) = 36 (-1 + -7m) + -6(-7 + -1m) = 36 -1 + -7m + (-7 * -6 + -1m * -6) = 36 -1 + -7m + (42 + 6m) = 36 Reorder the terms: -1 + 42 + -7m + 6m = 36 Combine like terms: -1 + 42 = 41 41 + -7m + 6m = 36 Combine like terms: -7m + 6m = -1m 41 + -1m = 36 Solving 41 + -1m = 36 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -1m = 36 + -41 Combine like terms: 41 + -41 = 0 0 + -1m = 36 + -41 -1m = 36 + -41 Combine like terms: 36 + -41 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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