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Simplifying 2 + -5b = 7(6b + 7) Reorder the terms: 2 + -5b = 7(7 + 6b) 2 + -5b = (7 * 7 + 6b * 7) 2 + -5b = (49 + 42b) Solving 2 + -5b = 49 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. 2 + -5b + -42b = 49 + 42b + -42b Combine like terms: -5b + -42b = -47b 2 + -47b = 49 + 42b + -42b Combine like terms: 42b + -42b = 0 2 + -47b = 49 + 0 2 + -47b = 49 Add '-2' to each side of the equation. 2 + -2 + -47b = 49 + -2 Combine like terms: 2 + -2 = 0 0 + -47b = 49 + -2 -47b = 49 + -2 Combine like terms: 49 + -2 = 47 -47b = 47 Divide each side by '-47'. b = -1 Simplifying b = -1
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