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Simplifying 2m + -21 = -61 + 7m Reorder the terms: -21 + 2m = -61 + 7m Solving -21 + 2m = -61 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -21 + 2m + -7m = -61 + 7m + -7m Combine like terms: 2m + -7m = -5m -21 + -5m = -61 + 7m + -7m Combine like terms: 7m + -7m = 0 -21 + -5m = -61 + 0 -21 + -5m = -61 Add '21' to each side of the equation. -21 + 21 + -5m = -61 + 21 Combine like terms: -21 + 21 = 0 0 + -5m = -61 + 21 -5m = -61 + 21 Combine like terms: -61 + 21 = -40 -5m = -40 Divide each side by '-5'. m = 8 Simplifying m = 8
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