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Simplifying 6(7 + -1b) + b = 36 + b (7 * 6 + -1b * 6) + b = 36 + b (42 + -6b) + b = 36 + b Combine like terms: -6b + b = -5b 42 + -5b = 36 + b Solving 42 + -5b = 36 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 42 + -5b + -1b = 36 + b + -1b Combine like terms: -5b + -1b = -6b 42 + -6b = 36 + b + -1b Combine like terms: b + -1b = 0 42 + -6b = 36 + 0 42 + -6b = 36 Add '-42' to each side of the equation. 42 + -42 + -6b = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -6b = 36 + -42 -6b = 36 + -42 Combine like terms: 36 + -42 = -6 -6b = -6 Divide each side by '-6'. b = 1 Simplifying b = 1
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