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Simplifying 8(1 + 4m) + 9(10m + 10) = 0 (1 * 8 + 4m * 8) + 9(10m + 10) = 0 (8 + 32m) + 9(10m + 10) = 0 Reorder the terms: 8 + 32m + 9(10 + 10m) = 0 8 + 32m + (10 * 9 + 10m * 9) = 0 8 + 32m + (90 + 90m) = 0 Reorder the terms: 8 + 90 + 32m + 90m = 0 Combine like terms: 8 + 90 = 98 98 + 32m + 90m = 0 Combine like terms: 32m + 90m = 122m 98 + 122m = 0 Solving 98 + 122m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + 122m = 0 + -98 Combine like terms: 98 + -98 = 0 0 + 122m = 0 + -98 122m = 0 + -98 Combine like terms: 0 + -98 = -98 122m = -98 Divide each side by '122'. m = -0.8032786885 Simplifying m = -0.8032786885
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