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Simplifying -266 = 7(6b + 7) + 3b Reorder the terms: -266 = 7(7 + 6b) + 3b -266 = (7 * 7 + 6b * 7) + 3b -266 = (49 + 42b) + 3b Combine like terms: 42b + 3b = 45b -266 = 49 + 45b Solving -266 = 49 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. -266 + -45b = 49 + 45b + -45b Combine like terms: 45b + -45b = 0 -266 + -45b = 49 + 0 -266 + -45b = 49 Add '266' to each side of the equation. -266 + 266 + -45b = 49 + 266 Combine like terms: -266 + 266 = 0 0 + -45b = 49 + 266 -45b = 49 + 266 Combine like terms: 49 + 266 = 315 -45b = 315 Divide each side by '-45'. b = -7 Simplifying b = -7
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