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Simplifying 4(-10m + 2) + -2 = 1 + -2m Reorder the terms: 4(2 + -10m) + -2 = 1 + -2m (2 * 4 + -10m * 4) + -2 = 1 + -2m (8 + -40m) + -2 = 1 + -2m Reorder the terms: 8 + -2 + -40m = 1 + -2m Combine like terms: 8 + -2 = 6 6 + -40m = 1 + -2m Solving 6 + -40m = 1 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 6 + -40m + 2m = 1 + -2m + 2m Combine like terms: -40m + 2m = -38m 6 + -38m = 1 + -2m + 2m Combine like terms: -2m + 2m = 0 6 + -38m = 1 + 0 6 + -38m = 1 Add '-6' to each side of the equation. 6 + -6 + -38m = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -38m = 1 + -6 -38m = 1 + -6 Combine like terms: 1 + -6 = -5 -38m = -5 Divide each side by '-38'. m = 0.1315789474 Simplifying m = 0.1315789474
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