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Simplifying 6m + 14 + 3[3m + (-7)] = 0 6m + 14 + 3[3m + -7] = 0 Reorder the terms: 6m + 14 + 3[-7 + 3m] = 0 6m + 14 + [-7 * 3 + 3m * 3] = 0 6m + 14 + [-21 + 9m] = 0 Reorder the terms: 14 + -21 + 6m + 9m = 0 Combine like terms: 14 + -21 = -7 -7 + 6m + 9m = 0 Combine like terms: 6m + 9m = 15m -7 + 15m = 0 Solving -7 + 15m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 15m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 15m = 0 + 7 15m = 0 + 7 Combine like terms: 0 + 7 = 7 15m = 7 Divide each side by '15'. m = 0.4666666667 Simplifying m = 0.4666666667
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