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Simplifying 5m + -7m + 6 = 8m + 2 + 10 Reorder the terms: 6 + 5m + -7m = 8m + 2 + 10 Combine like terms: 5m + -7m = -2m 6 + -2m = 8m + 2 + 10 Reorder the terms: 6 + -2m = 2 + 10 + 8m Combine like terms: 2 + 10 = 12 6 + -2m = 12 + 8m Solving 6 + -2m = 12 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 6 + -2m + -8m = 12 + 8m + -8m Combine like terms: -2m + -8m = -10m 6 + -10m = 12 + 8m + -8m Combine like terms: 8m + -8m = 0 6 + -10m = 12 + 0 6 + -10m = 12 Add '-6' to each side of the equation. 6 + -6 + -10m = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -10m = 12 + -6 -10m = 12 + -6 Combine like terms: 12 + -6 = 6 -10m = 6 Divide each side by '-10'. m = -0.6 Simplifying m = -0.6
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