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Simplifying 2(27 + -1b) = 100 + -4b + 6(s + -1b) (27 * 2 + -1b * 2) = 100 + -4b + 6(s + -1b) (54 + -2b) = 100 + -4b + 6(s + -1b) Reorder the terms: 54 + -2b = 100 + -4b + 6(-1b + s) 54 + -2b = 100 + -4b + (-1b * 6 + s * 6) 54 + -2b = 100 + -4b + (-6b + 6s) Combine like terms: -4b + -6b = -10b 54 + -2b = 100 + -10b + 6s Solving 54 + -2b = 100 + -10b + 6s Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 54 + -2b + 10b = 100 + -10b + 10b + 6s Combine like terms: -2b + 10b = 8b 54 + 8b = 100 + -10b + 10b + 6s Combine like terms: -10b + 10b = 0 54 + 8b = 100 + 0 + 6s 54 + 8b = 100 + 6s Add '-54' to each side of the equation. 54 + -54 + 8b = 100 + -54 + 6s Combine like terms: 54 + -54 = 0 0 + 8b = 100 + -54 + 6s 8b = 100 + -54 + 6s Combine like terms: 100 + -54 = 46 8b = 46 + 6s Divide each side by '8'. b = 5.75 + 0.75s Simplifying b = 5.75 + 0.75s
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