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Simplifying 6m + 66 = 2(333 + -2(100 + -1m)) Reorder the terms: 66 + 6m = 2(333 + -2(100 + -1m)) 66 + 6m = 2(333 + (100 * -2 + -1m * -2)) 66 + 6m = 2(333 + (-200 + 2m)) Combine like terms: 333 + -200 = 133 66 + 6m = 2(133 + 2m) 66 + 6m = (133 * 2 + 2m * 2) 66 + 6m = (266 + 4m) Solving 66 + 6m = 266 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 66 + 6m + -4m = 266 + 4m + -4m Combine like terms: 6m + -4m = 2m 66 + 2m = 266 + 4m + -4m Combine like terms: 4m + -4m = 0 66 + 2m = 266 + 0 66 + 2m = 266 Add '-66' to each side of the equation. 66 + -66 + 2m = 266 + -66 Combine like terms: 66 + -66 = 0 0 + 2m = 266 + -66 2m = 266 + -66 Combine like terms: 266 + -66 = 200 2m = 200 Divide each side by '2'. m = 100 Simplifying m = 100
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