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Simplifying 1.8(m + 6) + -1(7.7 + 0.8m) = -4 + 2 Reorder the terms: 1.8(6 + m) + -1(7.7 + 0.8m) = -4 + 2 (6 * 1.8 + m * 1.8) + -1(7.7 + 0.8m) = -4 + 2 (10.8 + 1.8m) + -1(7.7 + 0.8m) = -4 + 2 10.8 + 1.8m + (7.7 * -1 + 0.8m * -1) = -4 + 2 10.8 + 1.8m + (-7.7 + -0.8m) = -4 + 2 Reorder the terms: 10.8 + -7.7 + 1.8m + -0.8m = -4 + 2 Combine like terms: 10.8 + -7.7 = 3.1 3.1 + 1.8m + -0.8m = -4 + 2 Combine like terms: 1.8m + -0.8m = 1m 3.1 + 1m = -4 + 2 Combine like terms: -4 + 2 = -2 3.1 + 1m = -2 Solving 3.1 + 1m = -2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + 1m = -2 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + 1m = -2 + -3.1 1m = -2 + -3.1 Combine like terms: -2 + -3.1 = -5.1 1m = -5.1 Divide each side by '1'. m = -5.1 Simplifying m = -5.1
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