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Simplifying 6b + 4 = 5(3b + 8) Reorder the terms: 4 + 6b = 5(3b + 8) Reorder the terms: 4 + 6b = 5(8 + 3b) 4 + 6b = (8 * 5 + 3b * 5) 4 + 6b = (40 + 15b) Solving 4 + 6b = 40 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 4 + 6b + -15b = 40 + 15b + -15b Combine like terms: 6b + -15b = -9b 4 + -9b = 40 + 15b + -15b Combine like terms: 15b + -15b = 0 4 + -9b = 40 + 0 4 + -9b = 40 Add '-4' to each side of the equation. 4 + -4 + -9b = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -9b = 40 + -4 -9b = 40 + -4 Combine like terms: 40 + -4 = 36 -9b = 36 Divide each side by '-9'. b = -4 Simplifying b = -4
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