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Simplifying 6(36 + 2b) = 2(4 + -1b) (36 * 6 + 2b * 6) = 2(4 + -1b) (216 + 12b) = 2(4 + -1b) 216 + 12b = (4 * 2 + -1b * 2) 216 + 12b = (8 + -2b) Solving 216 + 12b = 8 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 216 + 12b + 2b = 8 + -2b + 2b Combine like terms: 12b + 2b = 14b 216 + 14b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 216 + 14b = 8 + 0 216 + 14b = 8 Add '-216' to each side of the equation. 216 + -216 + 14b = 8 + -216 Combine like terms: 216 + -216 = 0 0 + 14b = 8 + -216 14b = 8 + -216 Combine like terms: 8 + -216 = -208 14b = -208 Divide each side by '14'. b = -14.85714286 Simplifying b = -14.85714286
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