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Simplifying b + 7(1 + -3b) = 7 + -7b b + (1 * 7 + -3b * 7) = 7 + -7b b + (7 + -21b) = 7 + -7b Reorder the terms: 7 + b + -21b = 7 + -7b Combine like terms: b + -21b = -20b 7 + -20b = 7 + -7b Add '-7' to each side of the equation. 7 + -7 + -20b = 7 + -7 + -7b Combine like terms: 7 + -7 = 0 0 + -20b = 7 + -7 + -7b -20b = 7 + -7 + -7b Combine like terms: 7 + -7 = 0 -20b = 0 + -7b -20b = -7b Solving -20b = -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -20b + 7b = -7b + 7b Combine like terms: -20b + 7b = -13b -13b = -7b + 7b Combine like terms: -7b + 7b = 0 -13b = 0 Divide each side by '-13'. b = 0 Simplifying b = 0
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