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Simplifying 10m + -4(3m + 7) + 6m = 0 Reorder the terms: 10m + -4(7 + 3m) + 6m = 0 10m + (7 * -4 + 3m * -4) + 6m = 0 10m + (-28 + -12m) + 6m = 0 Reorder the terms: -28 + 10m + -12m + 6m = 0 Combine like terms: 10m + -12m = -2m -28 + -2m + 6m = 0 Combine like terms: -2m + 6m = 4m -28 + 4m = 0 Solving -28 + 4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4m = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 4m = 0 + 28 4m = 0 + 28 Combine like terms: 0 + 28 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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