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Simplifying 3m + -5 + 6m + -3 + m + -7 = 2m + 1 Reorder the terms: -5 + -3 + -7 + 3m + 6m + m = 2m + 1 Combine like terms: -5 + -3 = -8 -8 + -7 + 3m + 6m + m = 2m + 1 Combine like terms: -8 + -7 = -15 -15 + 3m + 6m + m = 2m + 1 Combine like terms: 3m + 6m = 9m -15 + 9m + m = 2m + 1 Combine like terms: 9m + m = 10m -15 + 10m = 2m + 1 Reorder the terms: -15 + 10m = 1 + 2m Solving -15 + 10m = 1 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -15 + 10m + -2m = 1 + 2m + -2m Combine like terms: 10m + -2m = 8m -15 + 8m = 1 + 2m + -2m Combine like terms: 2m + -2m = 0 -15 + 8m = 1 + 0 -15 + 8m = 1 Add '15' to each side of the equation. -15 + 15 + 8m = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8m = 1 + 15 8m = 1 + 15 Combine like terms: 1 + 15 = 16 8m = 16 Divide each side by '8'. m = 2 Simplifying m = 2
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