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Simplifying 13 + -1b + 4 = 2 + -0.5b + 6 Reorder the terms: 13 + 4 + -1b = 2 + -0.5b + 6 Combine like terms: 13 + 4 = 17 17 + -1b = 2 + -0.5b + 6 Reorder the terms: 17 + -1b = 2 + 6 + -0.5b Combine like terms: 2 + 6 = 8 17 + -1b = 8 + -0.5b Solving 17 + -1b = 8 + -0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.5b' to each side of the equation. 17 + -1b + 0.5b = 8 + -0.5b + 0.5b Combine like terms: -1b + 0.5b = -0.5b 17 + -0.5b = 8 + -0.5b + 0.5b Combine like terms: -0.5b + 0.5b = 0.0 17 + -0.5b = 8 + 0.0 17 + -0.5b = 8 Add '-17' to each side of the equation. 17 + -17 + -0.5b = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -0.5b = 8 + -17 -0.5b = 8 + -17 Combine like terms: 8 + -17 = -9 -0.5b = -9 Divide each side by '-0.5'. b = 18 Simplifying b = 18
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