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Simplifying 180 = (4b + 38) + (2b + 106) Reorder the terms: 180 = (38 + 4b) + (2b + 106) Remove parenthesis around (38 + 4b) 180 = 38 + 4b + (2b + 106) Reorder the terms: 180 = 38 + 4b + (106 + 2b) Remove parenthesis around (106 + 2b) 180 = 38 + 4b + 106 + 2b Reorder the terms: 180 = 38 + 106 + 4b + 2b Combine like terms: 38 + 106 = 144 180 = 144 + 4b + 2b Combine like terms: 4b + 2b = 6b 180 = 144 + 6b Solving 180 = 144 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 180 + -6b = 144 + 6b + -6b Combine like terms: 6b + -6b = 0 180 + -6b = 144 + 0 180 + -6b = 144 Add '-180' to each side of the equation. 180 + -180 + -6b = 144 + -180 Combine like terms: 180 + -180 = 0 0 + -6b = 144 + -180 -6b = 144 + -180 Combine like terms: 144 + -180 = -36 -6b = -36 Divide each side by '-6'. b = 6 Simplifying b = 6
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