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Simplifying 5 = 0.5(-6) + b Multiply 0.5 * -6 5 = -3 + b Solving 5 = -3 + 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. 5 + -1b = -3 + b + -1b Combine like terms: b + -1b = 0 5 + -1b = -3 + 0 5 + -1b = -3 Add '-5' to each side of the equation. 5 + -5 + -1b = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = -3 + -5 -1b = -3 + -5 Combine like terms: -3 + -5 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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