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Simplifying 4b + 6(-1b + 11) = -3(12 + -5b) Reorder the terms: 4b + 6(11 + -1b) = -3(12 + -5b) 4b + (11 * 6 + -1b * 6) = -3(12 + -5b) 4b + (66 + -6b) = -3(12 + -5b) Reorder the terms: 66 + 4b + -6b = -3(12 + -5b) Combine like terms: 4b + -6b = -2b 66 + -2b = -3(12 + -5b) 66 + -2b = (12 * -3 + -5b * -3) 66 + -2b = (-36 + 15b) Solving 66 + -2b = -36 + 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. 66 + -2b + -15b = -36 + 15b + -15b Combine like terms: -2b + -15b = -17b 66 + -17b = -36 + 15b + -15b Combine like terms: 15b + -15b = 0 66 + -17b = -36 + 0 66 + -17b = -36 Add '-66' to each side of the equation. 66 + -66 + -17b = -36 + -66 Combine like terms: 66 + -66 = 0 0 + -17b = -36 + -66 -17b = -36 + -66 Combine like terms: -36 + -66 = -102 -17b = -102 Divide each side by '-17'. b = 6 Simplifying b = 6
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