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Simplifying 7.5(4b + -10) = 46b + -1b Reorder the terms: 7.5(-10 + 4b) = 46b + -1b (-10 * 7.5 + 4b * 7.5) = 46b + -1b (-75 + 30b) = 46b + -1b Combine like terms: 46b + -1b = 45b -75 + 30b = 45b Solving -75 + 30b = 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. -75 + 30b + -45b = 45b + -45b Combine like terms: 30b + -45b = -15b -75 + -15b = 45b + -45b Combine like terms: 45b + -45b = 0 -75 + -15b = 0 Add '75' to each side of the equation. -75 + 75 + -15b = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -15b = 0 + 75 -15b = 0 + 75 Combine like terms: 0 + 75 = 75 -15b = 75 Divide each side by '-15'. b = -5 Simplifying b = -5
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