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Simplifying 5(4m + -1) + 2(m + 13) + 7m = 105 Reorder the terms: 5(-1 + 4m) + 2(m + 13) + 7m = 105 (-1 * 5 + 4m * 5) + 2(m + 13) + 7m = 105 (-5 + 20m) + 2(m + 13) + 7m = 105 Reorder the terms: -5 + 20m + 2(13 + m) + 7m = 105 -5 + 20m + (13 * 2 + m * 2) + 7m = 105 -5 + 20m + (26 + 2m) + 7m = 105 Reorder the terms: -5 + 26 + 20m + 2m + 7m = 105 Combine like terms: -5 + 26 = 21 21 + 20m + 2m + 7m = 105 Combine like terms: 20m + 2m = 22m 21 + 22m + 7m = 105 Combine like terms: 22m + 7m = 29m 21 + 29m = 105 Solving 21 + 29m = 105 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 29m = 105 + -21 Combine like terms: 21 + -21 = 0 0 + 29m = 105 + -21 29m = 105 + -21 Combine like terms: 105 + -21 = 84 29m = 84 Divide each side by '29'. m = 2.896551724 Simplifying m = 2.896551724
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