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Simplifying 0.33(12m + 6) + -1(m + 8) = 0 Reorder the terms: 0.33(6 + 12m) + -1(m + 8) = 0 (6 * 0.33 + 12m * 0.33) + -1(m + 8) = 0 (1.98 + 3.96m) + -1(m + 8) = 0 Reorder the terms: 1.98 + 3.96m + -1(8 + m) = 0 1.98 + 3.96m + (8 * -1 + m * -1) = 0 1.98 + 3.96m + (-8 + -1m) = 0 Reorder the terms: 1.98 + -8 + 3.96m + -1m = 0 Combine like terms: 1.98 + -8 = -6.02 -6.02 + 3.96m + -1m = 0 Combine like terms: 3.96m + -1m = 2.96m -6.02 + 2.96m = 0 Solving -6.02 + 2.96m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6.02' to each side of the equation. -6.02 + 6.02 + 2.96m = 0 + 6.02 Combine like terms: -6.02 + 6.02 = 0.00 0.00 + 2.96m = 0 + 6.02 2.96m = 0 + 6.02 Combine like terms: 0 + 6.02 = 6.02 2.96m = 6.02 Divide each side by '2.96'. m = 2.033783784 Simplifying m = 2.033783784
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