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Simplifying 5(1 + -7b) = 2b + -32 (1 * 5 + -7b * 5) = 2b + -32 (5 + -35b) = 2b + -32 Reorder the terms: 5 + -35b = -32 + 2b Solving 5 + -35b = -32 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 5 + -35b + -2b = -32 + 2b + -2b Combine like terms: -35b + -2b = -37b 5 + -37b = -32 + 2b + -2b Combine like terms: 2b + -2b = 0 5 + -37b = -32 + 0 5 + -37b = -32 Add '-5' to each side of the equation. 5 + -5 + -37b = -32 + -5 Combine like terms: 5 + -5 = 0 0 + -37b = -32 + -5 -37b = -32 + -5 Combine like terms: -32 + -5 = -37 -37b = -37 Divide each side by '-37'. b = 1 Simplifying b = 1
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