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Simplifying 10m + 12 + -4m + -19 = m + -3 + 4m + -4 Reorder the terms: 12 + -19 + 10m + -4m = m + -3 + 4m + -4 Combine like terms: 12 + -19 = -7 -7 + 10m + -4m = m + -3 + 4m + -4 Combine like terms: 10m + -4m = 6m -7 + 6m = m + -3 + 4m + -4 Reorder the terms: -7 + 6m = -3 + -4 + m + 4m Combine like terms: -3 + -4 = -7 -7 + 6m = -7 + m + 4m Combine like terms: m + 4m = 5m -7 + 6m = -7 + 5m Add '7' to each side of the equation. -7 + 7 + 6m = -7 + 7 + 5m Combine like terms: -7 + 7 = 0 0 + 6m = -7 + 7 + 5m 6m = -7 + 7 + 5m Combine like terms: -7 + 7 = 0 6m = 0 + 5m 6m = 5m Solving 6m = 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 6m + -5m = 5m + -5m Combine like terms: 6m + -5m = 1m 1m = 5m + -5m Combine like terms: 5m + -5m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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