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Simplifying 103.4 = -12(-8.2) + b Multiply -12 * -8.2 103.4 = 98.4 + b Solving 103.4 = 98.4 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 103.4 + -1b = 98.4 + b + -1b Combine like terms: b + -1b = 0 103.4 + -1b = 98.4 + 0 103.4 + -1b = 98.4 Add '-103.4' to each side of the equation. 103.4 + -103.4 + -1b = 98.4 + -103.4 Combine like terms: 103.4 + -103.4 = 0.0 0.0 + -1b = 98.4 + -103.4 -1b = 98.4 + -103.4 Combine like terms: 98.4 + -103.4 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5
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