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Simplifying 7(2m + 7) + -7(m + -1) = 0 Reorder the terms: 7(7 + 2m) + -7(m + -1) = 0 (7 * 7 + 2m * 7) + -7(m + -1) = 0 (49 + 14m) + -7(m + -1) = 0 Reorder the terms: 49 + 14m + -7(-1 + m) = 0 49 + 14m + (-1 * -7 + m * -7) = 0 49 + 14m + (7 + -7m) = 0 Reorder the terms: 49 + 7 + 14m + -7m = 0 Combine like terms: 49 + 7 = 56 56 + 14m + -7m = 0 Combine like terms: 14m + -7m = 7m 56 + 7m = 0 Solving 56 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 7m = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 7m = 0 + -56 7m = 0 + -56 Combine like terms: 0 + -56 = -56 7m = -56 Divide each side by '7'. m = -8 Simplifying m = -8
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