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Simplifying 100(3m + 2) + m + 4 = 1709 Reorder the terms: 100(2 + 3m) + m + 4 = 1709 (2 * 100 + 3m * 100) + m + 4 = 1709 (200 + 300m) + m + 4 = 1709 Reorder the terms: 200 + 4 + 300m + m = 1709 Combine like terms: 200 + 4 = 204 204 + 300m + m = 1709 Combine like terms: 300m + m = 301m 204 + 301m = 1709 Solving 204 + 301m = 1709 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-204' to each side of the equation. 204 + -204 + 301m = 1709 + -204 Combine like terms: 204 + -204 = 0 0 + 301m = 1709 + -204 301m = 1709 + -204 Combine like terms: 1709 + -204 = 1505 301m = 1505 Divide each side by '301'. m = 5 Simplifying m = 5
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