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Simplifying 4(3b + -11) = 5(29 + -3b) Reorder the terms: 4(-11 + 3b) = 5(29 + -3b) (-11 * 4 + 3b * 4) = 5(29 + -3b) (-44 + 12b) = 5(29 + -3b) -44 + 12b = (29 * 5 + -3b * 5) -44 + 12b = (145 + -15b) Solving -44 + 12b = 145 + -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. -44 + 12b + 15b = 145 + -15b + 15b Combine like terms: 12b + 15b = 27b -44 + 27b = 145 + -15b + 15b Combine like terms: -15b + 15b = 0 -44 + 27b = 145 + 0 -44 + 27b = 145 Add '44' to each side of the equation. -44 + 44 + 27b = 145 + 44 Combine like terms: -44 + 44 = 0 0 + 27b = 145 + 44 27b = 145 + 44 Combine like terms: 145 + 44 = 189 27b = 189 Divide each side by '27'. b = 7 Simplifying b = 7
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