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Simplifying 7.4 + 3b + -6.6 = -7 + 7b Reorder the terms: 7.4 + -6.6 + 3b = -7 + 7b Combine like terms: 7.4 + -6.6 = 0.8 0.8 + 3b = -7 + 7b Solving 0.8 + 3b = -7 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 0.8 + 3b + -7b = -7 + 7b + -7b Combine like terms: 3b + -7b = -4b 0.8 + -4b = -7 + 7b + -7b Combine like terms: 7b + -7b = 0 0.8 + -4b = -7 + 0 0.8 + -4b = -7 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -4b = -7 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -4b = -7 + -0.8 -4b = -7 + -0.8 Combine like terms: -7 + -0.8 = -7.8 -4b = -7.8 Divide each side by '-4'. b = 1.95 Simplifying b = 1.95
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