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Simplifying 4.7m + -6 = 3.9[m + 2.2] Reorder the terms: -6 + 4.7m = 3.9[m + 2.2] Reorder the terms: -6 + 4.7m = 3.9[2.2 + m] -6 + 4.7m = [2.2 * 3.9 + m * 3.9] -6 + 4.7m = [8.58 + 3.9m] Solving -6 + 4.7m = 8.58 + 3.9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.9m' to each side of the equation. -6 + 4.7m + -3.9m = 8.58 + 3.9m + -3.9m Combine like terms: 4.7m + -3.9m = 0.8m -6 + 0.8m = 8.58 + 3.9m + -3.9m Combine like terms: 3.9m + -3.9m = 0.0 -6 + 0.8m = 8.58 + 0.0 -6 + 0.8m = 8.58 Add '6' to each side of the equation. -6 + 6 + 0.8m = 8.58 + 6 Combine like terms: -6 + 6 = 0 0 + 0.8m = 8.58 + 6 0.8m = 8.58 + 6 Combine like terms: 8.58 + 6 = 14.58 0.8m = 14.58 Divide each side by '0.8'. m = 18.225 Simplifying m = 18.225
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