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Simplifying m + -7 = 6 + -1m + 6 + -7 Reorder the terms: -7 + m = 6 + -1m + 6 + -7 Reorder the terms: -7 + m = 6 + 6 + -7 + -1m Combine like terms: 6 + 6 = 12 -7 + m = 12 + -7 + -1m Combine like terms: 12 + -7 = 5 -7 + m = 5 + -1m Solving -7 + m = 5 + -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. -7 + m + m = 5 + -1m + m Combine like terms: m + m = 2m -7 + 2m = 5 + -1m + m Combine like terms: -1m + m = 0 -7 + 2m = 5 + 0 -7 + 2m = 5 Add '7' to each side of the equation. -7 + 7 + 2m = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2m = 5 + 7 2m = 5 + 7 Combine like terms: 5 + 7 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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