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Simplifying 35 = 0.5(3)(7 + b) Multiply 0.5 * 3 35 = 1.5(7 + b) 35 = (7 * 1.5 + b * 1.5) 35 = (10.5 + 1.5b) Solving 35 = 10.5 + 1.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.5b' to each side of the equation. 35 + -1.5b = 10.5 + 1.5b + -1.5b Combine like terms: 1.5b + -1.5b = 0.0 35 + -1.5b = 10.5 + 0.0 35 + -1.5b = 10.5 Add '-35' to each side of the equation. 35 + -35 + -1.5b = 10.5 + -35 Combine like terms: 35 + -35 = 0 0 + -1.5b = 10.5 + -35 -1.5b = 10.5 + -35 Combine like terms: 10.5 + -35 = -24.5 -1.5b = -24.5 Divide each side by '-1.5'. b = 16.33333333 Simplifying b = 16.33333333
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