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Simplifying 7.5(3.4 + -6.1b) = -3.7b + -37.575 (3.4 * 7.5 + -6.1b * 7.5) = -3.7b + -37.575 (25.5 + -45.75b) = -3.7b + -37.575 Reorder the terms: 25.5 + -45.75b = -37.575 + -3.7b Solving 25.5 + -45.75b = -37.575 + -3.7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3.7b' to each side of the equation. 25.5 + -45.75b + 3.7b = -37.575 + -3.7b + 3.7b Combine like terms: -45.75b + 3.7b = -42.05b 25.5 + -42.05b = -37.575 + -3.7b + 3.7b Combine like terms: -3.7b + 3.7b = 0.0 25.5 + -42.05b = -37.575 + 0.0 25.5 + -42.05b = -37.575 Add '-25.5' to each side of the equation. 25.5 + -25.5 + -42.05b = -37.575 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + -42.05b = -37.575 + -25.5 -42.05b = -37.575 + -25.5 Combine like terms: -37.575 + -25.5 = -63.075 -42.05b = -63.075 Divide each side by '-42.05'. b = 1.5 Simplifying b = 1.5
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