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Simplifying 100 = 0.5(b + 12)(5) Reorder the terms: 100 = 0.5(12 + b)(5) Reorder the terms for easier multiplication: 100 = 0.5 * 5(12 + b) Multiply 0.5 * 5 100 = 2.5(12 + b) 100 = (12 * 2.5 + b * 2.5) 100 = (30 + 2.5b) Solving 100 = 30 + 2.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.5b' to each side of the equation. 100 + -2.5b = 30 + 2.5b + -2.5b Combine like terms: 2.5b + -2.5b = 0.0 100 + -2.5b = 30 + 0.0 100 + -2.5b = 30 Add '-100' to each side of the equation. 100 + -100 + -2.5b = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -2.5b = 30 + -100 -2.5b = 30 + -100 Combine like terms: 30 + -100 = -70 -2.5b = -70 Divide each side by '-2.5'. b = 28 Simplifying b = 28
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