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Simplifying 3(1.2b + -1) + 3.6 = 42 Reorder the terms: 3(-1 + 1.2b) + 3.6 = 42 (-1 * 3 + 1.2b * 3) + 3.6 = 42 (-3 + 3.6b) + 3.6 = 42 Reorder the terms: -3 + 3.6 + 3.6b = 42 Combine like terms: -3 + 3.6 = 0.6 0.6 + 3.6b = 42 Solving 0.6 + 3.6b = 42 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 + 3.6b = 42 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 3.6b = 42 + -0.6 3.6b = 42 + -0.6 Combine like terms: 42 + -0.6 = 41.4 3.6b = 41.4 Divide each side by '3.6'. b = 11.5 Simplifying b = 11.5
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