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Simplifying 4b = 7(b + 30) Reorder the terms: 4b = 7(30 + b) 4b = (30 * 7 + b * 7) 4b = (210 + 7b) Solving 4b = 210 + 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. 4b + -7b = 210 + 7b + -7b Combine like terms: 4b + -7b = -3b -3b = 210 + 7b + -7b Combine like terms: 7b + -7b = 0 -3b = 210 + 0 -3b = 210 Divide each side by '-3'. b = -70 Simplifying b = -70
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