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Simplifying -289 = 2b + -7(7 + -4b) -289 = 2b + (7 * -7 + -4b * -7) -289 = 2b + (-49 + 28b) Reorder the terms: -289 = -49 + 2b + 28b Combine like terms: 2b + 28b = 30b -289 = -49 + 30b Solving -289 = -49 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. -289 + -30b = -49 + 30b + -30b Combine like terms: 30b + -30b = 0 -289 + -30b = -49 + 0 -289 + -30b = -49 Add '289' to each side of the equation. -289 + 289 + -30b = -49 + 289 Combine like terms: -289 + 289 = 0 0 + -30b = -49 + 289 -30b = -49 + 289 Combine like terms: -49 + 289 = 240 -30b = 240 Divide each side by '-30'. b = -8 Simplifying b = -8
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