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Simplifying 5m + -7 = 9 + 6m + 7m Reorder the terms: -7 + 5m = 9 + 6m + 7m Combine like terms: 6m + 7m = 13m -7 + 5m = 9 + 13m Solving -7 + 5m = 9 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. -7 + 5m + -13m = 9 + 13m + -13m Combine like terms: 5m + -13m = -8m -7 + -8m = 9 + 13m + -13m Combine like terms: 13m + -13m = 0 -7 + -8m = 9 + 0 -7 + -8m = 9 Add '7' to each side of the equation. -7 + 7 + -8m = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -8m = 9 + 7 -8m = 9 + 7 Combine like terms: 9 + 7 = 16 -8m = 16 Divide each side by '-8'. m = -2 Simplifying m = -2
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