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Simplifying -30.03 + -3.5b = 4.2(b + 3.3) Reorder the terms: -30.03 + -3.5b = 4.2(3.3 + b) -30.03 + -3.5b = (3.3 * 4.2 + b * 4.2) -30.03 + -3.5b = (13.86 + 4.2b) Solving -30.03 + -3.5b = 13.86 + 4.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.2b' to each side of the equation. -30.03 + -3.5b + -4.2b = 13.86 + 4.2b + -4.2b Combine like terms: -3.5b + -4.2b = -7.7b -30.03 + -7.7b = 13.86 + 4.2b + -4.2b Combine like terms: 4.2b + -4.2b = 0.0 -30.03 + -7.7b = 13.86 + 0.0 -30.03 + -7.7b = 13.86 Add '30.03' to each side of the equation. -30.03 + 30.03 + -7.7b = 13.86 + 30.03 Combine like terms: -30.03 + 30.03 = 0.00 0.00 + -7.7b = 13.86 + 30.03 -7.7b = 13.86 + 30.03 Combine like terms: 13.86 + 30.03 = 43.89 -7.7b = 43.89 Divide each side by '-7.7'. b = -5.7 Simplifying b = -5.7
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