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Simplifying 6 + -1(2 + 3b) + 4b = -3(b + -2) + -4 6 + (2 * -1 + 3b * -1) + 4b = -3(b + -2) + -4 6 + (-2 + -3b) + 4b = -3(b + -2) + -4 Combine like terms: 6 + -2 = 4 4 + -3b + 4b = -3(b + -2) + -4 Combine like terms: -3b + 4b = 1b 4 + 1b = -3(b + -2) + -4 Reorder the terms: 4 + 1b = -3(-2 + b) + -4 4 + 1b = (-2 * -3 + b * -3) + -4 4 + 1b = (6 + -3b) + -4 Reorder the terms: 4 + 1b = 6 + -4 + -3b Combine like terms: 6 + -4 = 2 4 + 1b = 2 + -3b Solving 4 + 1b = 2 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 4 + 1b + 3b = 2 + -3b + 3b Combine like terms: 1b + 3b = 4b 4 + 4b = 2 + -3b + 3b Combine like terms: -3b + 3b = 0 4 + 4b = 2 + 0 4 + 4b = 2 Add '-4' to each side of the equation. 4 + -4 + 4b = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 4b = 2 + -4 4b = 2 + -4 Combine like terms: 2 + -4 = -2 4b = -2 Divide each side by '4'. b = -0.5 Simplifying b = -0.5
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