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Simplifying 19.5 = -5.5 + 7(b + -2) Reorder the terms: 19.5 = -5.5 + 7(-2 + b) 19.5 = -5.5 + (-2 * 7 + b * 7) 19.5 = -5.5 + (-14 + 7b) Combine like terms: -5.5 + -14 = -19.5 19.5 = -19.5 + 7b Solving 19.5 = -19.5 + 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. 19.5 + -7b = -19.5 + 7b + -7b Combine like terms: 7b + -7b = 0 19.5 + -7b = -19.5 + 0 19.5 + -7b = -19.5 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -7b = -19.5 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -7b = -19.5 + -19.5 -7b = -19.5 + -19.5 Combine like terms: -19.5 + -19.5 = -39 -7b = -39 Divide each side by '-7'. b = 5.571428571 Simplifying b = 5.571428571
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