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Simplifying 6(-11 + 5b) = 4(b + 3) (-11 * 6 + 5b * 6) = 4(b + 3) (-66 + 30b) = 4(b + 3) Reorder the terms: -66 + 30b = 4(3 + b) -66 + 30b = (3 * 4 + b * 4) -66 + 30b = (12 + 4b) Solving -66 + 30b = 12 + 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. -66 + 30b + -4b = 12 + 4b + -4b Combine like terms: 30b + -4b = 26b -66 + 26b = 12 + 4b + -4b Combine like terms: 4b + -4b = 0 -66 + 26b = 12 + 0 -66 + 26b = 12 Add '66' to each side of the equation. -66 + 66 + 26b = 12 + 66 Combine like terms: -66 + 66 = 0 0 + 26b = 12 + 66 26b = 12 + 66 Combine like terms: 12 + 66 = 78 26b = 78 Divide each side by '26'. b = 3 Simplifying b = 3
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