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Simplifying 235 = 7b + -6(4 + -5b) 235 = 7b + (4 * -6 + -5b * -6) 235 = 7b + (-24 + 30b) Reorder the terms: 235 = -24 + 7b + 30b Combine like terms: 7b + 30b = 37b 235 = -24 + 37b Solving 235 = -24 + 37b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-37b' to each side of the equation. 235 + -37b = -24 + 37b + -37b Combine like terms: 37b + -37b = 0 235 + -37b = -24 + 0 235 + -37b = -24 Add '-235' to each side of the equation. 235 + -235 + -37b = -24 + -235 Combine like terms: 235 + -235 = 0 0 + -37b = -24 + -235 -37b = -24 + -235 Combine like terms: -24 + -235 = -259 -37b = -259 Divide each side by '-37'. b = 7 Simplifying b = 7
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