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Simplifying 40 + -3b = -1b + 6(3 + -4b) 40 + -3b = -1b + (3 * 6 + -4b * 6) 40 + -3b = -1b + (18 + -24b) Reorder the terms: 40 + -3b = 18 + -1b + -24b Combine like terms: -1b + -24b = -25b 40 + -3b = 18 + -25b Solving 40 + -3b = 18 + -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. 40 + -3b + 25b = 18 + -25b + 25b Combine like terms: -3b + 25b = 22b 40 + 22b = 18 + -25b + 25b Combine like terms: -25b + 25b = 0 40 + 22b = 18 + 0 40 + 22b = 18 Add '-40' to each side of the equation. 40 + -40 + 22b = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 22b = 18 + -40 22b = 18 + -40 Combine like terms: 18 + -40 = -22 22b = -22 Divide each side by '22'. b = -1 Simplifying b = -1
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