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Simplifying 4x + -1b + 6 = b(2) Reorder the terms: 6 + -1b + 4x = b(2) Reorder the terms for easier multiplication: 6 + -1b + 4x = 2b Solving 6 + -1b + 4x = 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. 6 + -1b + -2b + 4x = 2b + -2b Combine like terms: -1b + -2b = -3b 6 + -3b + 4x = 2b + -2b Combine like terms: 2b + -2b = 0 6 + -3b + 4x = 0 Add '-6' to each side of the equation. 6 + -3b + -6 + 4x = 0 + -6 Reorder the terms: 6 + -6 + -3b + 4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3b + 4x = 0 + -6 -3b + 4x = 0 + -6 Combine like terms: 0 + -6 = -6 -3b + 4x = -6 Add '-4x' to each side of the equation. -3b + 4x + -4x = -6 + -4x Combine like terms: 4x + -4x = 0 -3b + 0 = -6 + -4x -3b = -6 + -4x Divide each side by '-3'. b = 2 + 1.333333333x Simplifying b = 2 + 1.333333333x
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