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Simplifying 5m + -2 + -9m + -3 = 7 + m + 23 Reorder the terms: -2 + -3 + 5m + -9m = 7 + m + 23 Combine like terms: -2 + -3 = -5 -5 + 5m + -9m = 7 + m + 23 Combine like terms: 5m + -9m = -4m -5 + -4m = 7 + m + 23 Reorder the terms: -5 + -4m = 7 + 23 + m Combine like terms: 7 + 23 = 30 -5 + -4m = 30 + m Solving -5 + -4m = 30 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -5 + -4m + -1m = 30 + m + -1m Combine like terms: -4m + -1m = -5m -5 + -5m = 30 + m + -1m Combine like terms: m + -1m = 0 -5 + -5m = 30 + 0 -5 + -5m = 30 Add '5' to each side of the equation. -5 + 5 + -5m = 30 + 5 Combine like terms: -5 + 5 = 0 0 + -5m = 30 + 5 -5m = 30 + 5 Combine like terms: 30 + 5 = 35 -5m = 35 Divide each side by '-5'. m = -7 Simplifying m = -7
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