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Simplifying 2b + -6(b + -4) = 7(b + -6) Reorder the terms: 2b + -6(-4 + b) = 7(b + -6) 2b + (-4 * -6 + b * -6) = 7(b + -6) 2b + (24 + -6b) = 7(b + -6) Reorder the terms: 24 + 2b + -6b = 7(b + -6) Combine like terms: 2b + -6b = -4b 24 + -4b = 7(b + -6) Reorder the terms: 24 + -4b = 7(-6 + b) 24 + -4b = (-6 * 7 + b * 7) 24 + -4b = (-42 + 7b) Solving 24 + -4b = -42 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 24 + -4b + -7b = -42 + 7b + -7b Combine like terms: -4b + -7b = -11b 24 + -11b = -42 + 7b + -7b Combine like terms: 7b + -7b = 0 24 + -11b = -42 + 0 24 + -11b = -42 Add '-24' to each side of the equation. 24 + -24 + -11b = -42 + -24 Combine like terms: 24 + -24 = 0 0 + -11b = -42 + -24 -11b = -42 + -24 Combine like terms: -42 + -24 = -66 -11b = -66 Divide each side by '-11'. b = 6 Simplifying b = 6
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