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Simplifying 3(12b + -1) + 3.6 = 4.2 Reorder the terms: 3(-1 + 12b) + 3.6 = 4.2 (-1 * 3 + 12b * 3) + 3.6 = 4.2 (-3 + 36b) + 3.6 = 4.2 Reorder the terms: -3 + 3.6 + 36b = 4.2 Combine like terms: -3 + 3.6 = 0.6 0.6 + 36b = 4.2 Solving 0.6 + 36b = 4.2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 36b = 4.2 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 36b = 4.2 + -0.6 36b = 4.2 + -0.6 Combine like terms: 4.2 + -0.6 = 3.6 36b = 3.6 Divide each side by '36'. b = 0.1 Simplifying b = 0.1
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