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Simplifying -2(m + -8) + -3[2m + 5] = 0 Reorder the terms: -2(-8 + m) + -3[2m + 5] = 0 (-8 * -2 + m * -2) + -3[2m + 5] = 0 (16 + -2m) + -3[2m + 5] = 0 Reorder the terms: 16 + -2m + -3[5 + 2m] = 0 16 + -2m + [5 * -3 + 2m * -3] = 0 16 + -2m + [-15 + -6m] = 0 Reorder the terms: 16 + -15 + -2m + -6m = 0 Combine like terms: 16 + -15 = 1 1 + -2m + -6m = 0 Combine like terms: -2m + -6m = -8m 1 + -8m = 0 Solving 1 + -8m = 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 + -8m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8m = 0 + -1 -8m = 0 + -1 Combine like terms: 0 + -1 = -1 -8m = -1 Divide each side by '-8'. m = 0.125 Simplifying m = 0.125
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