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Simplifying 5[7 + -2(3m + 1)] + -8m = 0 Reorder the terms: 5[7 + -2(1 + 3m)] + -8m = 0 5[7 + (1 * -2 + 3m * -2)] + -8m = 0 5[7 + (-2 + -6m)] + -8m = 0 Combine like terms: 7 + -2 = 5 5[5 + -6m] + -8m = 0 [5 * 5 + -6m * 5] + -8m = 0 [25 + -30m] + -8m = 0 Combine like terms: -30m + -8m = -38m 25 + -38m = 0 Solving 25 + -38m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -38m = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -38m = 0 + -25 -38m = 0 + -25 Combine like terms: 0 + -25 = -25 -38m = -25 Divide each side by '-38'. m = 0.6578947368 Simplifying m = 0.6578947368
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