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Simplifying 4b + 30 = 6(b + 3) Reorder the terms: 30 + 4b = 6(b + 3) Reorder the terms: 30 + 4b = 6(3 + b) 30 + 4b = (3 * 6 + b * 6) 30 + 4b = (18 + 6b) Solving 30 + 4b = 18 + 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. 30 + 4b + -6b = 18 + 6b + -6b Combine like terms: 4b + -6b = -2b 30 + -2b = 18 + 6b + -6b Combine like terms: 6b + -6b = 0 30 + -2b = 18 + 0 30 + -2b = 18 Add '-30' to each side of the equation. 30 + -30 + -2b = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -2b = 18 + -30 -2b = 18 + -30 Combine like terms: 18 + -30 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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