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Simplifying 8(2m + 4) + 3(m + -2) + 16 = 0 Reorder the terms: 8(4 + 2m) + 3(m + -2) + 16 = 0 (4 * 8 + 2m * 8) + 3(m + -2) + 16 = 0 (32 + 16m) + 3(m + -2) + 16 = 0 Reorder the terms: 32 + 16m + 3(-2 + m) + 16 = 0 32 + 16m + (-2 * 3 + m * 3) + 16 = 0 32 + 16m + (-6 + 3m) + 16 = 0 Reorder the terms: 32 + -6 + 16 + 16m + 3m = 0 Combine like terms: 32 + -6 = 26 26 + 16 + 16m + 3m = 0 Combine like terms: 26 + 16 = 42 42 + 16m + 3m = 0 Combine like terms: 16m + 3m = 19m 42 + 19m = 0 Solving 42 + 19m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 19m = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 19m = 0 + -42 19m = 0 + -42 Combine like terms: 0 + -42 = -42 19m = -42 Divide each side by '19'. m = -2.210526316 Simplifying m = -2.210526316
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