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