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Simplifying b + -37 = 4(3 + -2b) + 2b Reorder the terms: -37 + b = 4(3 + -2b) + 2b -37 + b = (3 * 4 + -2b * 4) + 2b -37 + b = (12 + -8b) + 2b Combine like terms: -8b + 2b = -6b -37 + b = 12 + -6b Solving -37 + b = 12 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -37 + b + 6b = 12 + -6b + 6b Combine like terms: b + 6b = 7b -37 + 7b = 12 + -6b + 6b Combine like terms: -6b + 6b = 0 -37 + 7b = 12 + 0 -37 + 7b = 12 Add '37' to each side of the equation. -37 + 37 + 7b = 12 + 37 Combine like terms: -37 + 37 = 0 0 + 7b = 12 + 37 7b = 12 + 37 Combine like terms: 12 + 37 = 49 7b = 49 Divide each side by '7'. b = 7 Simplifying b = 7
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