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Simplifying 3b + 4(2b + -5) = 2b + 4 + -6b Reorder the terms: 3b + 4(-5 + 2b) = 2b + 4 + -6b 3b + (-5 * 4 + 2b * 4) = 2b + 4 + -6b 3b + (-20 + 8b) = 2b + 4 + -6b Reorder the terms: -20 + 3b + 8b = 2b + 4 + -6b Combine like terms: 3b + 8b = 11b -20 + 11b = 2b + 4 + -6b Reorder the terms: -20 + 11b = 4 + 2b + -6b Combine like terms: 2b + -6b = -4b -20 + 11b = 4 + -4b Solving -20 + 11b = 4 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -20 + 11b + 4b = 4 + -4b + 4b Combine like terms: 11b + 4b = 15b -20 + 15b = 4 + -4b + 4b Combine like terms: -4b + 4b = 0 -20 + 15b = 4 + 0 -20 + 15b = 4 Add '20' to each side of the equation. -20 + 20 + 15b = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 15b = 4 + 20 15b = 4 + 20 Combine like terms: 4 + 20 = 24 15b = 24 Divide each side by '15'. b = 1.6 Simplifying b = 1.6
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