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Simplifying -307 = 6b + -7(-5b + -3) Reorder the terms: -307 = 6b + -7(-3 + -5b) -307 = 6b + (-3 * -7 + -5b * -7) -307 = 6b + (21 + 35b) Reorder the terms: -307 = 21 + 6b + 35b Combine like terms: 6b + 35b = 41b -307 = 21 + 41b Solving -307 = 21 + 41b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-41b' to each side of the equation. -307 + -41b = 21 + 41b + -41b Combine like terms: 41b + -41b = 0 -307 + -41b = 21 + 0 -307 + -41b = 21 Add '307' to each side of the equation. -307 + 307 + -41b = 21 + 307 Combine like terms: -307 + 307 = 0 0 + -41b = 21 + 307 -41b = 21 + 307 Combine like terms: 21 + 307 = 328 -41b = 328 Divide each side by '-41'. b = -8 Simplifying b = -8
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