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Simplifying 3m * 4 + -18m * 3 + 29m * 2 + -12m + 1 = 0 Reorder the terms for easier multiplication: 3 * 4m + -18m * 3 + 29m * 2 + -12m + 1 = 0 Multiply 3 * 4 12m + -18m * 3 + 29m * 2 + -12m + 1 = 0 Reorder the terms for easier multiplication: 12m + -18 * 3m + 29m * 2 + -12m + 1 = 0 Multiply -18 * 3 12m + -54m + 29m * 2 + -12m + 1 = 0 Reorder the terms for easier multiplication: 12m + -54m + 29 * 2m + -12m + 1 = 0 Multiply 29 * 2 12m + -54m + 58m + -12m + 1 = 0 Reorder the terms: 1 + 12m + -54m + 58m + -12m = 0 Combine like terms: 12m + -54m = -42m 1 + -42m + 58m + -12m = 0 Combine like terms: -42m + 58m = 16m 1 + 16m + -12m = 0 Combine like terms: 16m + -12m = 4m 1 + 4m = 0 Solving 1 + 4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 0 + -1 4m = 0 + -1 Combine like terms: 0 + -1 = -1 4m = -1 Divide each side by '4'. m = -0.25 Simplifying m = -0.25
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