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Simplifying 10 * 20 + m * 20 = 10 * 40 + m Multiply 10 * 20 200 + m * 20 = 10 * 40 + m Reorder the terms for easier multiplication: 200 + 20m = 10 * 40 + m Multiply 10 * 40 200 + 20m = 400 + m Solving 200 + 20m = 400 + 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. 200 + 20m + -1m = 400 + m + -1m Combine like terms: 20m + -1m = 19m 200 + 19m = 400 + m + -1m Combine like terms: m + -1m = 0 200 + 19m = 400 + 0 200 + 19m = 400 Add '-200' to each side of the equation. 200 + -200 + 19m = 400 + -200 Combine like terms: 200 + -200 = 0 0 + 19m = 400 + -200 19m = 400 + -200 Combine like terms: 400 + -200 = 200 19m = 200 Divide each side by '19'. m = 10.52631579 Simplifying m = 10.52631579
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