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Simplifying -16 + -4 + 27 + -38 = 5m + -2 + 3m Combine like terms: -16 + -4 = -20 -20 + 27 + -38 = 5m + -2 + 3m Combine like terms: -20 + 27 = 7 7 + -38 = 5m + -2 + 3m Combine like terms: 7 + -38 = -31 -31 = 5m + -2 + 3m Reorder the terms: -31 = -2 + 5m + 3m Combine like terms: 5m + 3m = 8m -31 = -2 + 8m Solving -31 = -2 + 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. -31 + -8m = -2 + 8m + -8m Combine like terms: 8m + -8m = 0 -31 + -8m = -2 + 0 -31 + -8m = -2 Add '31' to each side of the equation. -31 + 31 + -8m = -2 + 31 Combine like terms: -31 + 31 = 0 0 + -8m = -2 + 31 -8m = -2 + 31 Combine like terms: -2 + 31 = 29 -8m = 29 Divide each side by '-8'. m = -3.625 Simplifying m = -3.625
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