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Simplifying 1.5(m + 3) + -1(6.1 + 0.5m) = -9 + 2 Reorder the terms: 1.5(3 + m) + -1(6.1 + 0.5m) = -9 + 2 (3 * 1.5 + m * 1.5) + -1(6.1 + 0.5m) = -9 + 2 (4.5 + 1.5m) + -1(6.1 + 0.5m) = -9 + 2 4.5 + 1.5m + (6.1 * -1 + 0.5m * -1) = -9 + 2 4.5 + 1.5m + (-6.1 + -0.5m) = -9 + 2 Reorder the terms: 4.5 + -6.1 + 1.5m + -0.5m = -9 + 2 Combine like terms: 4.5 + -6.1 = -1.6 -1.6 + 1.5m + -0.5m = -9 + 2 Combine like terms: 1.5m + -0.5m = 1m -1.6 + 1m = -9 + 2 Combine like terms: -9 + 2 = -7 -1.6 + 1m = -7 Solving -1.6 + 1m = -7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + 1m = -7 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1m = -7 + 1.6 1m = -7 + 1.6 Combine like terms: -7 + 1.6 = -5.4 1m = -5.4 Divide each side by '1'. m = -5.4 Simplifying m = -5.4
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