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Simplifying 6(2m + 3) * 2 + 7(2m + 3) + -5 = 0 Reorder the terms: 6(3 + 2m) * 2 + 7(2m + 3) + -5 = 0 Reorder the terms for easier multiplication: 6 * 2(3 + 2m) + 7(2m + 3) + -5 = 0 Multiply 6 * 2 12(3 + 2m) + 7(2m + 3) + -5 = 0 (3 * 12 + 2m * 12) + 7(2m + 3) + -5 = 0 (36 + 24m) + 7(2m + 3) + -5 = 0 Reorder the terms: 36 + 24m + 7(3 + 2m) + -5 = 0 36 + 24m + (3 * 7 + 2m * 7) + -5 = 0 36 + 24m + (21 + 14m) + -5 = 0 Reorder the terms: 36 + 21 + -5 + 24m + 14m = 0 Combine like terms: 36 + 21 = 57 57 + -5 + 24m + 14m = 0 Combine like terms: 57 + -5 = 52 52 + 24m + 14m = 0 Combine like terms: 24m + 14m = 38m 52 + 38m = 0 Solving 52 + 38m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 38m = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 38m = 0 + -52 38m = 0 + -52 Combine like terms: 0 + -52 = -52 38m = -52 Divide each side by '38'. m = -1.368421053 Simplifying m = -1.368421053
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