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Simplifying 0.45(70) + 0.25b = 0.15(70 + b) Multiply 0.45 * 70 31.5 + 0.25b = 0.15(70 + b) 31.5 + 0.25b = (70 * 0.15 + b * 0.15) 31.5 + 0.25b = (10.5 + 0.15b) Solving 31.5 + 0.25b = 10.5 + 0.15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.15b' to each side of the equation. 31.5 + 0.25b + -0.15b = 10.5 + 0.15b + -0.15b Combine like terms: 0.25b + -0.15b = 0.1b 31.5 + 0.1b = 10.5 + 0.15b + -0.15b Combine like terms: 0.15b + -0.15b = 0.00 31.5 + 0.1b = 10.5 + 0.00 31.5 + 0.1b = 10.5 Add '-31.5' to each side of the equation. 31.5 + -31.5 + 0.1b = 10.5 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + 0.1b = 10.5 + -31.5 0.1b = 10.5 + -31.5 Combine like terms: 10.5 + -31.5 = -21 0.1b = -21 Divide each side by '0.1'. b = -210 Simplifying b = -210
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