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Simplifying 3(6 + 5) = 4(2b + -5) Combine like terms: 6 + 5 = 11 3(11) = 4(2b + -5) Multiply 3 * 11 33 = 4(2b + -5) Reorder the terms: 33 = 4(-5 + 2b) 33 = (-5 * 4 + 2b * 4) 33 = (-20 + 8b) Solving 33 = -20 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 33 + -8b = -20 + 8b + -8b Combine like terms: 8b + -8b = 0 33 + -8b = -20 + 0 33 + -8b = -20 Add '-33' to each side of the equation. 33 + -33 + -8b = -20 + -33 Combine like terms: 33 + -33 = 0 0 + -8b = -20 + -33 -8b = -20 + -33 Combine like terms: -20 + -33 = -53 -8b = -53 Divide each side by '-8'. b = 6.625 Simplifying b = 6.625
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