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Simplifying 4.7m + -7 = 3.8(m + 2.2) Reorder the terms: -7 + 4.7m = 3.8(m + 2.2) Reorder the terms: -7 + 4.7m = 3.8(2.2 + m) -7 + 4.7m = (2.2 * 3.8 + m * 3.8) -7 + 4.7m = (8.36 + 3.8m) Solving -7 + 4.7m = 8.36 + 3.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.8m' to each side of the equation. -7 + 4.7m + -3.8m = 8.36 + 3.8m + -3.8m Combine like terms: 4.7m + -3.8m = 0.9m -7 + 0.9m = 8.36 + 3.8m + -3.8m Combine like terms: 3.8m + -3.8m = 0.0 -7 + 0.9m = 8.36 + 0.0 -7 + 0.9m = 8.36 Add '7' to each side of the equation. -7 + 7 + 0.9m = 8.36 + 7 Combine like terms: -7 + 7 = 0 0 + 0.9m = 8.36 + 7 0.9m = 8.36 + 7 Combine like terms: 8.36 + 7 = 15.36 0.9m = 15.36 Divide each side by '0.9'. m = 17.06666667 Simplifying m = 17.06666667
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