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Simplifying m + 5 + -7 = m + 2 + 2m + 8 Reorder the terms: 5 + -7 + m = m + 2 + 2m + 8 Combine like terms: 5 + -7 = -2 -2 + m = m + 2 + 2m + 8 Reorder the terms: -2 + m = 2 + 8 + m + 2m Combine like terms: 2 + 8 = 10 -2 + m = 10 + m + 2m Combine like terms: m + 2m = 3m -2 + m = 10 + 3m Solving -2 + m = 10 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -2 + m + -3m = 10 + 3m + -3m Combine like terms: m + -3m = -2m -2 + -2m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + -2m = 10 + 0 -2 + -2m = 10 Add '2' to each side of the equation. -2 + 2 + -2m = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = 10 + 2 -2m = 10 + 2 Combine like terms: 10 + 2 = 12 -2m = 12 Divide each side by '-2'. m = -6 Simplifying m = -6
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