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Simplifying 7b + 37 = 4(8b + 3) Reorder the terms: 37 + 7b = 4(8b + 3) Reorder the terms: 37 + 7b = 4(3 + 8b) 37 + 7b = (3 * 4 + 8b * 4) 37 + 7b = (12 + 32b) Solving 37 + 7b = 12 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 37 + 7b + -32b = 12 + 32b + -32b Combine like terms: 7b + -32b = -25b 37 + -25b = 12 + 32b + -32b Combine like terms: 32b + -32b = 0 37 + -25b = 12 + 0 37 + -25b = 12 Add '-37' to each side of the equation. 37 + -37 + -25b = 12 + -37 Combine like terms: 37 + -37 = 0 0 + -25b = 12 + -37 -25b = 12 + -37 Combine like terms: 12 + -37 = -25 -25b = -25 Divide each side by '-25'. b = 1 Simplifying b = 1
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