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Simplifying 14m + 4 = 2(3m + -2) Reorder the terms: 4 + 14m = 2(3m + -2) Reorder the terms: 4 + 14m = 2(-2 + 3m) 4 + 14m = (-2 * 2 + 3m * 2) 4 + 14m = (-4 + 6m) Solving 4 + 14m = -4 + 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 + 14m + -6m = -4 + 6m + -6m Combine like terms: 14m + -6m = 8m 4 + 8m = -4 + 6m + -6m Combine like terms: 6m + -6m = 0 4 + 8m = -4 + 0 4 + 8m = -4 Add '-4' to each side of the equation. 4 + -4 + 8m = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 8m = -4 + -4 8m = -4 + -4 Combine like terms: -4 + -4 = -8 8m = -8 Divide each side by '8'. m = -1 Simplifying m = -1
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