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Simplifying -7b + 6(7 + -1b) = -6b + 4(b + -6) -7b + (7 * 6 + -1b * 6) = -6b + 4(b + -6) -7b + (42 + -6b) = -6b + 4(b + -6) Reorder the terms: 42 + -7b + -6b = -6b + 4(b + -6) Combine like terms: -7b + -6b = -13b 42 + -13b = -6b + 4(b + -6) Reorder the terms: 42 + -13b = -6b + 4(-6 + b) 42 + -13b = -6b + (-6 * 4 + b * 4) 42 + -13b = -6b + (-24 + 4b) Reorder the terms: 42 + -13b = -24 + -6b + 4b Combine like terms: -6b + 4b = -2b 42 + -13b = -24 + -2b Solving 42 + -13b = -24 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 42 + -13b + 2b = -24 + -2b + 2b Combine like terms: -13b + 2b = -11b 42 + -11b = -24 + -2b + 2b Combine like terms: -2b + 2b = 0 42 + -11b = -24 + 0 42 + -11b = -24 Add '-42' to each side of the equation. 42 + -42 + -11b = -24 + -42 Combine like terms: 42 + -42 = 0 0 + -11b = -24 + -42 -11b = -24 + -42 Combine like terms: -24 + -42 = -66 -11b = -66 Divide each side by '-11'. b = 6 Simplifying b = 6
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