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Simplifying 2(8m + 2) = 3(2m + -7) Reorder the terms: 2(2 + 8m) = 3(2m + -7) (2 * 2 + 8m * 2) = 3(2m + -7) (4 + 16m) = 3(2m + -7) Reorder the terms: 4 + 16m = 3(-7 + 2m) 4 + 16m = (-7 * 3 + 2m * 3) 4 + 16m = (-21 + 6m) Solving 4 + 16m = -21 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 4 + 16m + -6m = -21 + 6m + -6m Combine like terms: 16m + -6m = 10m 4 + 10m = -21 + 6m + -6m Combine like terms: 6m + -6m = 0 4 + 10m = -21 + 0 4 + 10m = -21 Add '-4' to each side of the equation. 4 + -4 + 10m = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 10m = -21 + -4 10m = -21 + -4 Combine like terms: -21 + -4 = -25 10m = -25 Divide each side by '10'. m = -2.5 Simplifying m = -2.5
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