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Simplifying 4b + 47 = 7b + 14 Reorder the terms: 47 + 4b = 7b + 14 Reorder the terms: 47 + 4b = 14 + 7b Solving 47 + 4b = 14 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 47 + 4b + -7b = 14 + 7b + -7b Combine like terms: 4b + -7b = -3b 47 + -3b = 14 + 7b + -7b Combine like terms: 7b + -7b = 0 47 + -3b = 14 + 0 47 + -3b = 14 Add '-47' to each side of the equation. 47 + -47 + -3b = 14 + -47 Combine like terms: 47 + -47 = 0 0 + -3b = 14 + -47 -3b = 14 + -47 Combine like terms: 14 + -47 = -33 -3b = -33 Divide each side by '-3'. b = 11 Simplifying b = 11
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