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Simplifying 1 + 4b + -7 = -2 + 6b + -4b Reorder the terms: 1 + -7 + 4b = -2 + 6b + -4b Combine like terms: 1 + -7 = -6 -6 + 4b = -2 + 6b + -4b Combine like terms: 6b + -4b = 2b -6 + 4b = -2 + 2b Solving -6 + 4b = -2 + 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 + 4b + -2b = -2 + 2b + -2b Combine like terms: 4b + -2b = 2b -6 + 2b = -2 + 2b + -2b Combine like terms: 2b + -2b = 0 -6 + 2b = -2 + 0 -6 + 2b = -2 Add '6' to each side of the equation. -6 + 6 + 2b = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2b = -2 + 6 2b = -2 + 6 Combine like terms: -2 + 6 = 4 2b = 4 Divide each side by '2'. b = 2 Simplifying b = 2
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