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Simplifying 39 + -6m = 6m + -7(m + -7) Reorder the terms: 39 + -6m = 6m + -7(-7 + m) 39 + -6m = 6m + (-7 * -7 + m * -7) 39 + -6m = 6m + (49 + -7m) Reorder the terms: 39 + -6m = 49 + 6m + -7m Combine like terms: 6m + -7m = -1m 39 + -6m = 49 + -1m Solving 39 + -6m = 49 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 39 + -6m + m = 49 + -1m + m Combine like terms: -6m + m = -5m 39 + -5m = 49 + -1m + m Combine like terms: -1m + m = 0 39 + -5m = 49 + 0 39 + -5m = 49 Add '-39' to each side of the equation. 39 + -39 + -5m = 49 + -39 Combine like terms: 39 + -39 = 0 0 + -5m = 49 + -39 -5m = 49 + -39 Combine like terms: 49 + -39 = 10 -5m = 10 Divide each side by '-5'. m = -2 Simplifying m = -2
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