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Simplifying -180 = 4(7b + 1) + -5b Reorder the terms: -180 = 4(1 + 7b) + -5b -180 = (1 * 4 + 7b * 4) + -5b -180 = (4 + 28b) + -5b Combine like terms: 28b + -5b = 23b -180 = 4 + 23b Solving -180 = 4 + 23b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23b' to each side of the equation. -180 + -23b = 4 + 23b + -23b Combine like terms: 23b + -23b = 0 -180 + -23b = 4 + 0 -180 + -23b = 4 Add '180' to each side of the equation. -180 + 180 + -23b = 4 + 180 Combine like terms: -180 + 180 = 0 0 + -23b = 4 + 180 -23b = 4 + 180 Combine like terms: 4 + 180 = 184 -23b = 184 Divide each side by '-23'. b = -8 Simplifying b = -8
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